The Portuguese tactician was unveiled at a press conference on Monday where he greeted the media in understated fashion, after walking away from Real Madrid to return to the club he last managed five years ago.
After spells in Italy and Spain, Mourinho says he returns as a happier and more mature man, unwilling to speak negatively about the past, or interim boss Rafa Benitez's reign last season.
Instead, the 50-year-old is focused on the future, which includes re-integrating skipper Terry, who found himself increasingly marginalised under the previous west London regime.
"From me, (there will be) not one word about Benitez's decisions, on John or any other player," Mourinho is quoted by Sky Sports. "What I can say is about the future.
"I'll meet John in the first week of July and try to get the best out of him. I know what he can give, let's try to make him again a very important player which he couldn't be last season.
"Last time (I was manager), John was the captain by a club decision because he was born in this club, also, his personality on the pitch."
Just because Terry has the club captaincy, Mourinho was quick to point out that he will not be given any preferential treatment, nor will any other senior players whom the 50-year-old has already enjoyed a working relationship with.
"At this moment, when you say 'my captain', it's not the real world. He is more Chelsea captain," he added. "My captain is the board's captain, the fans' captain. I don't think the manager's captain is the correct word.
"John is the club captain. I am more than happy with that, so are the fans, so I think he has to be the club captain.
"With the armband? Only if he plays. If he isn't in the starting XI, he won't have the armband."