The 27-year-old, who joined City from Lazio in 2010, has recently been linked with a move to Juventus, and reports suggest that his days at the Etihad Stadium could be numbered.
However, the Serbian international said that he is enjoying more first-team exposure under new boss Manuel Pellegrini.
"I have a contract with City until 2015 - I'm playing and I'm glad," he told Sport Mediaset.
"Someday I'd like to go back to Italy, it will happen when the time is appropriate.
"I have never had contact with anyone in the past, and I am always focused on City. I'm putting in the work and I'm playing more now. We'll see what happens in the future."
Kolarov has started in eight of his 11 Premier League appearances this term.