John Terry has described José Mourinho as the best manager in the world “by a long way”, and said the Portuguese’s undiminished will to win and desire to stay at Stamford Bridge for the long term spell trouble for Chelsea’s opponents.

Mourinho has agreed – though not yet signed – a new four-year deal and has talked of staying for another decade. Terry, who has seen seven managers come and go since Mourinho’s first spell ended in 2005, believes such stability can trigger a new wave of Chelsea dominance.

“I was delighted to have him back and now I am delighted he will stay for a few more years,” said Terry. “It’s great news for the club but terrible news for everybody else because the other managers know that he finds ways to beat teams, he knows people inside out, on and off the pitch. Whether you’re a player or manager, he does his groundwork. He knows everything.

“For the whole place stability is key for us, which we have missed over the previous five or six years. It’s stable here, it’s calm. But the manager still pushes us every single day. You see him on the training pitch in pre-season – he is leading from the front. He demands the very best from us on a daily basis which is why for me he is the best in the world by a long way. He will keep striving, keep pushing players and getting the best out of them individually and collectively.

“He has always been a manager to take control of everything himself, he’s not one of those managers that stand back and watch from the sidelines. He is very much on the training pitch, taking the session himself and demanding things, pushing players day in and day out. He hasn’t changed at all.

“It’s exciting to be here at Chelsea now because there is a new stadium that we hope will go through and we can build. He wants to be here for that, we all want to be here for that. It’s exciting times for the football club and to have the best manager in the world, with some of the best players in the world, and to be winning, it’s great. His hunger to win is still phenomenal.”

Mourinho took the 4-2 drubbing at the hands of a youthful, exuberant New York Red Bulls development side, which came thanks in part to the classy 16-year-old Tyler Adams, with a touch of gallows humour and honesty.

He will hope for – and certainly need – an improved display against Paris St-Germain at Charlotte’s Bank of America stadium on Saturday.

“Even in the training games he hates losing, he hates conceding goals and that rubs off on the players,” said Terry, the captain. “It’s important you have a manager like that and players who are willing to give everything on a daily basis. From what I have seen in my career, you play as you train.

“We are all happy. We had a great season last year, but that doesn’t stop him from losing games and being unhappy, wanting to improve. But that’s what makes him the best – he will push everyone.

“He has a lot of great records against clubs and other managers. It must play on their minds. When other big teams sign big players you do think ‘oh’, but it must be the same for them when [Chelsea do].”

The pursuit of Everton’s John Stones remains on track but Mourinho, no matter what happened at the Red Bull Arena on Wednesday night, will continue to have faith with the players who took him to the title last season.

“He certainly gives you confidence when you do the specific work on the training pitch, the tactics room and in the dressing room before matches,” said Terry. “We go into games fully aware of other team’s strengths, their weaknesses as well. But also our weaknesses and ways we can be got at if we don’t do things the right way. So he prepares us with every situation and making sure we’re ready.”

The 34-year-old said the fact that Chelsea won the Premier League and Capital One Cup last season in Mourinho’s second campaign back at the club counts for nothing in his and the manager’s eyes. “For me last season has finished, it’s all gone – the records and the trophies,” he said. “We go again and are starting from scratch. He will have it no other way. He has made that clear already; I have the same mentality as him. He does all the talking. There is only thing for me to be and that’s the best I can be on the training field.”