Alexis Sanchez has responded to the speculation over his long-term Arsenal future by promising to 'fight' for the club.

The Chilean was dropped by Arsene Wenger, the Arsenal manager, for Saturday's 3-1 defeat to Liverpool after he stormed out of a training session last week.

As The Independent revealed on Sunday, an angry disagreement between Sanchez and one of his teammates left Wenger feeling as though he had to leave his star player out for the good of the team.

Liverpool vs Arsenal player ratings Show all 22 1 /22 Liverpool vs Arsenal player ratings Liverpool vs Arsenal player ratings Brad Jones Let Giroud’s shot through his legs too easily and perhaps could have done better with Debuchy’s opener, too. 3 GETTY IMAGES Liverpool vs Arsenal player ratings Kolo Toure Too easily beaten for Giroud’s goal, he looked slow and cumbersome throughout but nevertheless found time for some of his typical buccaneering runs forward. 4 GETTY IMAGES Liverpool vs Arsenal player ratings Martin Skrtel At fault for Arsenal’s equaliser when he allowed Debuchy to steal in at the back post but made up for that error with the equaliser, a howitzer off an injured forehead. 6 GETTY IMAGES Liverpool vs Arsenal player ratings Mamadou Sakho There is a good player waiting to break out – but Sakho still looks shaky when pressurised by fast attackers. 6 GETTY IMAGES Liverpool vs Arsenal player ratings Jordan Henderson Neat and tidy at points, but in this remodelled, strikerless Liverpool system he appears less able to cut defences open with passes and driving runs. 6 GETTY IMAGES Liverpool vs Arsenal player ratings Lucas Leiva How Coutinho benefits from having a player of his defensive responsibility mopping up behind him. Almost scored too, with a late run into the box. 8 GETTY IMAGES Liverpool vs Arsenal player ratings Steven Gerrard Willed his team on in the last ten minutes as is his wont. Less influential than before but still such a massive influence on this team. 6 GETTY IMAGES Liverpool vs Arsenal player ratings Lazar Markovic Far, far better than he has been so far in a left wing-back role. Missed two good opportunities to put Liverpool in front but Rodgers may yet have found a gem in the 20-year-old. 7 GETTY IMAGES Liverpool vs Arsenal player ratings Philippe Coutinho Livelier than he has been since last season, the Brazilian looks far more comfortable with Lucas behind him. Perfectly-placed shot found the corner to put his side ahead but guilty of missed opportunities thereafter. 8 GETTY IMAGES Liverpool vs Arsenal player ratings Raheem Sterling Left Debuchy for dead midway through the second half in a reminder of his luminous skill and, along with Coutinho, was Liverpool’s biggest threat throughout. 7 GETTY IMAGES Liverpool vs Arsenal player ratings Adam Lallana Does not and indeed has never looked worth £25m. Flitted in and out of the game with sporadic touches of skill. 5 GETTY IMAGES Liverpool vs Arsenal player ratings Wojciech Szczesny Could do nothing about either Coutinho’s well-placed shot or Skrtel’s bullet header. 7 GETTY IMAGES Liverpool vs Arsenal player ratings Calum Chambers He will be a fine player, but he looked overawed by Coutinho and Lallana’s movement. 6 GETTY IMAGES Liverpool vs Arsenal player ratings Mathieu Debuchy Struggled defensively but contributed meaningfully at the other end of the pitch, popping up with a crucial equaliser right on half time. 7 GETTY IMAGES Liverpool vs Arsenal player ratings Per Mertesacker A mistake waiting to happen. Looked rickety early on as Sterling and Coutinho drove at him and should have at least attempted to stop Skrtel powering past him for the equalising header. 4 GETTY IMAGES Liverpool vs Arsenal player ratings Kieran Gibbs Was fortunate that most of Liverpool’s threat was confined to the left wing. Got forward well as is his custom. 6 GETTY IMAGES Liverpool vs Arsenal player ratings Alex Oxlade-Chamberlain Quieter than the bullocking figure of recent weeks, he struggled to impose himself on the game. 6 GETTY IMAGES Liverpool vs Arsenal player ratings Mathieu Flamini Struggled early to track Coutinho and received a yellow for hauling him down. Could have been sent off after clashing with Lallana. 5 GETTY IMAGES Liverpool vs Arsenal player ratings Alexis Sanchez A peripheral presence but won the free kick from Gerrard that led to Debuchy’s goal. Oddly quiet thereafter and eventually departed the field. 5 GETTY IMAGES Liverpool vs Arsenal player ratings Santi Cazorla An effervescent display. Allowed further forward in the second half, he responded with a serving shot that travelled narrowly wide and the delicious cutback from which Giroud put Arsenal ahead. 8 GETTY IMAGES Liverpool vs Arsenal player ratings Danny Welbeck Quiet before he was hurt in a clash with Sakho midway through the second half, and limped on ineffectually thereafter. 7 GETTY IMAGES Liverpool vs Arsenal player ratings Olivier Giroud Hit a snapshot over on 62 minutes, and was often played wide in the first half. But he made the crucial intervention by slotting home Cazorla’s cross. 7 GETTY IMAGES

Sanchez, who was eventually brought on as a second-half substitute at Anfield, has now appeared to respond to reports of the incident by posting a defiant message on his official Instagram account.

“The true warrior fights not because he hates the ones in front of him, but because he loves those behind him,” he wrote, using a quote often attributed to English author G.K. Chesterton, before adding: “Let's go Gunners. The only failure is not trying.”

Speaking at a pre-match press conference ahead of Tuesday's Champions League meeting with Bayern Munich, Wenger dismissed the reports of a fall-out as 'completely false' and insisted that he had left Sanchez out on a purely tactical basis.

“I understand that you have to feed the newspapers and we respect that,” he said. “When you lose these games, it’s not always down to these stories, and we accept that.”

Wenger subsequently insisted that the club would decide on Sanchez's long-term future, as negotiations between the two parties over a new contract continue.

The 28-year-old is yet to agree a terms and he has just 16 months left to run on his current Arsenal deal.