Bellamy was a strong supporter of Mark Hughes, who was sacked this month with City sixth in the Premier League, but has said the departure of the manager he also worked with at Blackburn Rovers and with Wales will not prompt him to seek a transfer.
"I want to stay and I am going to stay," Bellamy told the Mirror. "I am committed to that. I am committed to Man City. I have bought into the idea of where Man City is going to go and I am a huge part of where it is at this stage.
"I have no problem with Mancini. None at all. It's not his problem he's here. What happened to Mark Hughes has got nothing to do with him.
"He put it very well at his press conference when he said he won all those trophies at Inter and still got sacked. That is the game. It's what the game is.
"There is no resentment towards him from me. Every player at the club is exactly the same. If you want to be part of this club, you have got to start playing.
"I hope Mancini will stay for a long time because I think stability is the key to success. I hope he gets a number of years to do it and, as long as I last, I will give my all for him.
"I will take legal action over the stories this week that said I had a row with Mancini. I understand it is easy to write that kind of thing because people out there think I will actually do this kind of stuff, so it's easy to stick my name in there. But it was absolutely not true."