Chelsea boss Ancelotti insists: Terry remains my captain
Terry returned to work at Turf Moor after allegations of an affair with an ex-girlfriend of former team-mate Wayne Bridge were made public - and headed an 83rd-minute winner against Burnley.
Steven Fletcher had pulled the home side level after Nicolas Anelka opened the scoring for the Blues.
Ancelotti said: "There is no discussion about this (the Chelsea captaincy). I don't know why you ask me this. The players will never lose their trust in him.
"It was a good moment for Terry on the pitch. But he also played well against Birmingham in midweek.
"I did not speak with him. It wasn't necessary because he did well in training yesterday. It was not in my mind he wouldn't play.
"I do not want to talk about his personal life. He is doing his job very well, every day, every training session. For this (reason) I am not worried."
Ancelotti, however, refused to discuss whether Terry should remain skipper of the national team.
"I am manager of Chelsea and that is my focus, not England " he said.
Ancelotti insists that Terry is helping improve the club's profile, not tarnishing it.
He said: "The professionalism of John Terry improves the image of the club. I am a manager and only want to speak about his work. He is a fantastic professional.
"All the club, the players, management and staff are supporting him and his family at this time."