Toure was delighted to see Mancini sign a new five-year contract on Tuesday and the Ivory Coast international responded by shrugging off links with a move back to Barcelona.
The 29-year-old left the Camp Nou to join City in 2010 and recent reports have claimed he could be tempted to return to Spain.
But Toure, who played a key role in City winning their first English league title for 44 years, told the club’s website: “I was very happy to hear the news that our manager has signed a new five year deal.
“It is important for this club to have stability at all levels, especially after we have just won the title and the FA Cup the season before.
“It means there will be no changes or disruption to what has proved a winning formula and, for the long term, that can only be good for Manchester City.
“Now the manager can continue to build this club and plan for the future – let’s not forget Sir Alex Ferguson has been at Manchester United for 25 years and they haven’t done too badly over the years.
“On a personal level, I’m very happy because I want to win many more trophies with City and the manager has the same mentality as I do – he wants to win everything with this club and so do I.
“Of course, it’s not only me – we have a whole squad who are hungry for more success and we are pulling in the same direction.”