The Argentinian striker spoke out earlier in the season saying he wanted to leave Eastlands and manager Roberto Mancini has repeatedly said that he won't stop him if that's what he wants to do, but denies ever telling him that he can leave.
But following Saturday's 1-0 FA Cup final victory over Stoke, Mancini told the Manchester Evening News: "Carlos has a fabulous contract with us. He's our captain and is an important player for us.
"I don't know if he was saying goodbye after the game on Saturday, you'd have to ask him."
Tevez' future in Manchester has been in doubt since December when he handed in a transfer request, something which he later withdrew.
"It's difficult to be far from my daughters," Tevez was quoted as saying by the Spanish newspaper El Mundo at the weekend.
"I'm very well, very calm, but l also want to make it clear that I have no problem with the board, nor with Roberto (Mancini).
"As there has been a lot of talk that I have a problem with Roberto, I want to clear that up.
"If I stay at City I have to start thinking about what I can bear and it's very difficult, that's the truth."