The France international had been linked with a move to Paris Saint-Germain but says he has no plans to leave.
Nasri endured something of a fractious relationship with former boss Roberto Mancini and is now keen to make his mark under the new manager.
He told Sky Sports News: "It is not true, it is rubbish. They just talk.
"The director of PSG (Leonardo) said maybe he wants to buy some French players and said my name. He is someone I have known for a long time from when he was at Inter Milan.
"I want to stay in Manchester, I don't want to leave, it is just talk."