Mike Dean will referee in the Premier League this weekend despite failing to send Diego Costa off in Saturday’s match between Arsenal and Chelsea.

The official will take charge of West Ham’s game with Norwich although his team failed to spot Costa putting his arm across Laurent Koscielny’s face.

He will be joined by assistants Simon Long and Stuart Burt, both of whom were alongside him at Stamford Bridge, for the match at Upton Park on Saturday.

Arsene Wenger was hugely critical of the referee’s performance, saying in the aftermath of his side’s 2-0 defeat: “I would not like to be Mike Dean tonight.

“Costa twice should be sent off. He hits him in the face in purpose. In every game he has aggravation and he gets away with it because of the weakness of the referee.”

Chelsea vs Arsenal - player ratings 22 show all Chelsea vs Arsenal - player ratings 1/22 Asmir Begovic - 7 Saved Walcott’s 28th-minute effort and provided a strong presence in goal throughout the game. IAN KINGTON/AFP/Getty Images 2/22 Branislav Ivanovic - 6 Put in an improved showing after being rested against Maccabi Tel Aviv. The right-back was tested by Sanchez’s pace regularly but often did enough to track back and stop the Arsenal winger from causing too much damage although it earned him a yellow card. Getty 3/22 Kurt Zouma - 8 The Frenchman was superb at the heart of Chelsea’s defence and again, like against Maccabi, worked well with Cahill. After firing a speculative shot high in the 36th minute, Zouma scored the opener with a fine header at the near post. 4/22 Gary Cahill - 7 Provided leadership at the back and was never afraid of coming out to clear his lines - indeed it was Cahill who worked well with Zouma to snuff out Sanchez’s 59th-minute run as Arsenal looked for the equaliser. 5/22 Cesar Azpilicueta - 7 Was never really troubled by Ramsey and looked comfortable back in his left-back position after being utilised at right-back against Maccabi. 6/22 Nemanja Matic - 6 Protected Chelsea’s back line well and provided a good defensive body in the middle of the park although he made a few sloppy passes in the match. 7/22 Cesc Fabregas - 7 Looked invigorated against his former side after scoring a goal in the Champions League on Wednesday, and delivered the free-kick that Zouma scored from. The midfielder also showed how important he can be in setting up attacks with a superb lofty ball to Pedro just after the half-hour mark. 8/22 Pedro - 5 Came back into the starting line-up after recovering from a minor thigh strain and, while the winger wasn’t as effective as he has been in previous outings, he tried his best to score with several shots at goal. 9/22 Oscar - 6 The Brazilian enjoyed another good game from his central position and worked the lines well to help build up Chelsea’s attacks. 10/22 Eden Hazard - 7 Had an early penalty appeal turned down, but the Belgian’s pace gave Bellerin work to do on the left before his powerful shot in the 90th minute deflected off Chambers and into the back of the net to make it 2-0. 11/22 Diego Costa - 6 The striker was undoubtedly the main controversial figure of the clash. While he was Chelsea’s main threat up front as he regularly pulled Arsenal’s defenders out of position with his runs, he should have been sent off for striking Koscielny’s face and then chesting him down to the pitch after being confronted by the Frenchman. Costa later provoked Gabriel, who was dismissed for retaliating, which turned the game around. However, put in a good showing for the home side. 12/22 Petr Cech - 6 The goalkeeper looked at ease despite playing at his former stomping ground and made several saves to keep his side in the contest until Zouma scored. May feel he could have done more to try and stop the Chelsea defender’s header. 13/22 Hector Bellerin - 6 The right-back had a busy afternoon trying to contain the threat of Hazard but often used his speed to stop the Belgian from wreaking havoc. However, he could have given away a second-half penalty for his challenge on Costa just inside the area. 14/22 Laurent Koscielny - 6 The defender lost Zouma in the build-up to the opener, but admirably did not react to Costa striking his face. 15/22 Gabriel - 4 Was needlessly sent off just before the break for swinging his leg at Costa after a confrontation with the striker, which reduced Arsenal to 10 men and turned the game on its head. The defender could have done better not to react to Costa’s goading but defended well otherwise. 16/22 Nacho Monreal - 7 The left-back snuffed out some early Chelsea chances, first doing enough to stop Costa as he attacked and then pressurising Pedro into hesitating with only Cech to beat. But he found it harder to defend as well as he had in the first half when Arsenal went down to 10 and then nine men. 17/22 Francis Coquelin - 7 Played an important role in clearing the danger just in front of Arsenal’s defence in the first half but came off in the second half. 18/22 Santi Cazorla - 4 Was shown his second yellow card of the afternoon and was subsequently sent off for a reckless tackle on Fabregas in the 79th minute which reduced Arsenal to nine men after having been cautioned for an earlier foul on Pedro. 19/22 Aaron Ramsey - 5 Never really troubled Azpilicueta on the right flank, and his best moment to score came when he was set up by Ozil just before the break - but he hesitated which led to Arsenal’s fine counter-attack collapsing. 20/22 Mesut Ozil - 5 Made a fine run to set up Ramsey on the counter but, other than that, could not work his way past Chelsea’s stubborn defence. Was taken off in the 75th minute. 21/22 Alexis Sanchez - 5 He tested Ivanovic with his pacey runs down the left flank several times during the game, but was marked well when going on the attack. Substituted in the 74th minute. 22/22 Theo Walcott - 6 Wenger started the 26-year-old up front as the lone striker and although he was a threat early on – indeed he forced Begovic into a save in the 28th minute with his low shot – he regularly struggled to get the better of Zouma and Cahill to score. 1/22 Asmir Begovic - 7 Saved Walcott’s 28th-minute effort and provided a strong presence in goal throughout the game. IAN KINGTON/AFP/Getty Images 2/22 Branislav Ivanovic - 6 Put in an improved showing after being rested against Maccabi Tel Aviv. The right-back was tested by Sanchez’s pace regularly but often did enough to track back and stop the Arsenal winger from causing too much damage although it earned him a yellow card. Getty 3/22 Kurt Zouma - 8 The Frenchman was superb at the heart of Chelsea’s defence and again, like against Maccabi, worked well with Cahill. After firing a speculative shot high in the 36th minute, Zouma scored the opener with a fine header at the near post. 4/22 Gary Cahill - 7 Provided leadership at the back and was never afraid of coming out to clear his lines - indeed it was Cahill who worked well with Zouma to snuff out Sanchez’s 59th-minute run as Arsenal looked for the equaliser. 5/22 Cesar Azpilicueta - 7 Was never really troubled by Ramsey and looked comfortable back in his left-back position after being utilised at right-back against Maccabi. 6/22 Nemanja Matic - 6 Protected Chelsea’s back line well and provided a good defensive body in the middle of the park although he made a few sloppy passes in the match. 7/22 Cesc Fabregas - 7 Looked invigorated against his former side after scoring a goal in the Champions League on Wednesday, and delivered the free-kick that Zouma scored from. The midfielder also showed how important he can be in setting up attacks with a superb lofty ball to Pedro just after the half-hour mark. 8/22 Pedro - 5 Came back into the starting line-up after recovering from a minor thigh strain and, while the winger wasn’t as effective as he has been in previous outings, he tried his best to score with several shots at goal. 9/22 Oscar - 6 The Brazilian enjoyed another good game from his central position and worked the lines well to help build up Chelsea’s attacks. 10/22 Eden Hazard - 7 Had an early penalty appeal turned down, but the Belgian’s pace gave Bellerin work to do on the left before his powerful shot in the 90th minute deflected off Chambers and into the back of the net to make it 2-0. 11/22 Diego Costa - 6 The striker was undoubtedly the main controversial figure of the clash. While he was Chelsea’s main threat up front as he regularly pulled Arsenal’s defenders out of position with his runs, he should have been sent off for striking Koscielny’s face and then chesting him down to the pitch after being confronted by the Frenchman. Costa later provoked Gabriel, who was dismissed for retaliating, which turned the game around. However, put in a good showing for the home side. 12/22 Petr Cech - 6 The goalkeeper looked at ease despite playing at his former stomping ground and made several saves to keep his side in the contest until Zouma scored. May feel he could have done more to try and stop the Chelsea defender’s header. 13/22 Hector Bellerin - 6 The right-back had a busy afternoon trying to contain the threat of Hazard but often used his speed to stop the Belgian from wreaking havoc. However, he could have given away a second-half penalty for his challenge on Costa just inside the area. 14/22 Laurent Koscielny - 6 The defender lost Zouma in the build-up to the opener, but admirably did not react to Costa striking his face. 15/22 Gabriel - 4 Was needlessly sent off just before the break for swinging his leg at Costa after a confrontation with the striker, which reduced Arsenal to 10 men and turned the game on its head. The defender could have done better not to react to Costa’s goading but defended well otherwise. 16/22 Nacho Monreal - 7 The left-back snuffed out some early Chelsea chances, first doing enough to stop Costa as he attacked and then pressurising Pedro into hesitating with only Cech to beat. But he found it harder to defend as well as he had in the first half when Arsenal went down to 10 and then nine men. 17/22 Francis Coquelin - 7 Played an important role in clearing the danger just in front of Arsenal’s defence in the first half but came off in the second half. 18/22 Santi Cazorla - 4 Was shown his second yellow card of the afternoon and was subsequently sent off for a reckless tackle on Fabregas in the 79th minute which reduced Arsenal to nine men after having been cautioned for an earlier foul on Pedro. 19/22 Aaron Ramsey - 5 Never really troubled Azpilicueta on the right flank, and his best moment to score came when he was set up by Ozil just before the break - but he hesitated which led to Arsenal’s fine counter-attack collapsing. 20/22 Mesut Ozil - 5 Made a fine run to set up Ramsey on the counter but, other than that, could not work his way past Chelsea’s stubborn defence. Was taken off in the 75th minute. 21/22 Alexis Sanchez - 5 He tested Ivanovic with his pacey runs down the left flank several times during the game, but was marked well when going on the attack. Substituted in the 74th minute. 22/22 Theo Walcott - 6 Wenger started the 26-year-old up front as the lone striker and although he was a threat early on – indeed he forced Begovic into a save in the 28th minute with his low shot – he regularly struggled to get the better of Zouma and Cahill to score.

The Chelsea striker has been charged with violent conduct by the FA over an incident that Dean, who sent off Gabriel and Santi Cazorla for the visitors, did not see.

Wenger was not the only individual to lambast the referee’s performance in a controversial derby game. Pundit Garth Crookes accused Dean of “wanting to be the star” on BBC’s Final Score.

"Don't look for excuses to send players off, that's not your job, just do your job and try your very best to keep players on the pitch.

"It's really getting on my nerves because he's spoiling great games. It's not about you, Mike, it's about the games - people come here and pay good money to see football, not for you to get overofficious like a petulant school teacher."

An online petition set up by Arsenal supporters to keep Dean from ever refereeing a game involving their side reached over 80,000 signatures.