The £27million January 2011 signing from Wolfsburg has started just seven games in all competitions for City in 2013 and is understood to be frustrated.
Dzeko has carved a reputation as a super-substitute after scoring 13 goals this season but the striker may not stay at the Etihad Stadium beyond the end of the campaign. "I love the Bundesliga and I will return to the Bundesliga.
The only thing I don't know is when," said the Bosnia international in the Daily Mirror. Reports have even suggested Dzeko has held talks with Borussia Dortmund, who look set to lose star striker Robert Lewandowski this summer, with Bayern Munich and Manchester United heavily linked.
But Dzeko said: "That's not true. There is a lot of talk and a lot is written. If you believed every word, I'd be playing at Bayern Munich or AC Milan by now.
"Dortmund are a top club. Everyone in Europe can see that and with (manager) Jurgen Klopp, they have a great coach working there."