Manchester United, Arsenal, Chelsea and Manchester City are all reportedly interested in signing the 26-year-old.
Toure is keen on leaving Camp Nou due to a lack of playing time.
Barca president Joan Laporta told Spanish media: “I am convinced that Yaya Toure will be a Barca player for many years and we have not decided to sell.
“The kid offers big performances for the team and I am personally a fan of Toure. The quotes are normal because he is a first-class player who wants more playing time.
“Toure is wanted by the coaches. I am not preoccupied by the quotes of the agent. He has also issued warnings at other times, but the footballer is still here.”