The 28-year-old insisted that he is happy at the Premier League club and wants to win the Champions League with them.
"I'm very used to the rumours every summer," The Mirror quotes the Spaniard as saying. "They have been around a long time. It's the way football works – just rumours.
"I'm very happy at Manchester City and I think that shows on the pitch as well. The first thing is that I want to win the Premier League this year. And then I want to win the Champions League. We want to get bigger every year, regardless of what is happening at Manchester United.
"I think this is the most exciting City team I have played in. That attacking style helps, not just for me, but for all the players to go forward and score more goals. I ask myself in every game to be the one to take responsibility. I enjoy creating goals more than scoring them."
Silva joined City from Valencia in 2010.