The 26-year-old signed a new five-year deal with Roberto Mancini's side earlier this month amid speculation linking the midfielder with a return to Spain.
"I renewed my contract because I am happy here," Silva told Cope radio.
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"I hope we will continue to improve and fight for more titles. At the moment I am thinking about that, not about the future. I'm only thinking about continuing to play, to enjoy and try to win titles.
"There is no clause in my contract allowing me to leave for Madrid or Barcelona."
City currently sit seventh in the Premier League following two consecutive draws against Stoke City and Arsenal. Mancini's men also crashed out of the League Cup on Tuesday following a 4-2 defeat in extra time to Aston Villa at the Etihad Stadium.
Silva insists his side's performances must improve and admits City's opening to the campaign has not been up to standards.
"The truth is we didn't play good football, we need to improve, like last year when we started very well," Silva continued.
"We have to get back to that level and find that we have to work hard to do so as soon as possible.
"We haven't started as everyone wanted, but we're still in the fight for the title. The league has just started, as has the Champions League."