Kompany, 26, was instrumental in City's maiden Premier League title triumph, with his imperious displays at the heart of their defence earning him widespread acclaim.
The Belgium international, who replaced Carols Tevez as skipper last year, is thought to have atracted the attention of a number of Europe's top clubs - but he insists there is no chance of him leaving Eastlands any time soon.
"I'm happy in Manchester. Lots of people want me to talk about moving but what interests me is Manchester City," he told The People. "The project here is not just a sporting one. It will bring a lot to the city and to the people.
"We can't stop with the title. We want to win the Champions League. Is it possible in three to four years? Maybe not, but when I see what's been achieved at the club in the last few years, nothing is impossible."
And after helping City end their 44-year wait for a league title, Kompany is now hopeful that he could be part of a dynasty with the club.
"We're going to build a new training centre to bring together the junior and senior players," Kompany said. "The project is to take the club back to its former glories but people won't see this for perhaps another 10 years. I'm happy to be part of all that.
"It's not a three-year project but rather one for 10, 15, 20 years. It's exciting to think I can be part of taking the club where it wants to go."