The Spain international, who has been speaking to Mundo Deportivo while on World Cup qualifying duty, only signed a new five-year contract at City in September 2012.
He intends to honour that agreement and claims he would not have signed if he was not happy in England.
The 27-year-old has been forced to clear up issues regarding his future in the wake of speculation suggesting he could soon be heading home.
Real, who are known to be long-time admirers of Silva, are said to have made the World Cup winner a top target ahead of another lavish spending spree next summer.
Silva, though, insists there is no substance to the rumours and that he is going nowhere.
He told Mundo Deportivo: "I'm very happy in Manchester and I think this is similar to what happens every year.
"There are always rumours and, in the end, the player has to be calm. I renewed my contract because I am happy over there (in Manchester)."