The 31-year-old has been approached by Turkish giants Galatasaray, who have offered him a three-year contract.
"Kolo is flattered by the interest from Galatasaray but he is happy at Man City," his advisor Saif Rubie told Sky Sports.
"Kolo has spoken to the manager (Roberto Mancini) and owners [of City] and he remains as committed to the club as the day he signed.
"All Kolo's focus is on helping Manchester City be successful this season in every competition they are going for. Kolo is happy to stay and play his part and is looking forward to the next game after the international break."
Toure's current contract at City runs out at the end of this season.