The Italian, whose contract runs until 2013, led the club to their first major silverware in 35 years in the FA Cup last season and this weekend saw his team overtake Manchester United at the top of the league.
"I started to work here two years ago, I have worked hard to build a good team," Mancini told a news conference ahead of Tuesday's Champions League Group A game at home to Villarreal.
"I would like to stay here another three or four years because I think at this moment Manchester City is one of the best clubs in the world."
"It is not important if we play well or not well, it is important we win this game," he said. "If we win I think we can also win the group - it's possible, we have a chance.
"Villarreal are a good team, they are used to playing in the Champions League for many years."
City's last Champions League outing at Bayern is remembered not for their 2-0 defeat but for the debacle surrounding Carlos Tevez's alleged refusal to come on as a second-half substitute.
The Argentina striker, who has served a two-week club suspension and faces disciplinary action after an internal investigation, denies Mancini's accusation that he refused to play.
The issue has been a black cloud hovering above otherwise sunny days for the club, and one they have avoided discussing publicly as the matter has repeatedly been declared off limits in Mancini's news conferences.
"What story?" he grinned.
