The Bosnian, who signed from Wolfsburg for £27million last weekend, admitted it had been hard to leave Germany but he was lured by joining a side chasing the Barclays Premier League title.
He said: "I'm very pleased. I'm here at a big club like Manchester City with big ambition.
"I saw something else in Man City. It's a big club and I'm an ambitious player and I think we can have a lot of success together.
"It's a project. I need to say it's a very good team with a very good coach. It was three-and-a-half beautiful years with Wolfsburg and we had a lot of success, winning the league for the first time in our history.
"I was very happy there but I wanted to change, try something new and better and that's why I'm here."