The Bosnian striker is thought to have been frustrated with a lack of first-team action for the Blues in recent months.
His future at the Etihad Stadium has been put in further doubt after the recent goalscoring return of Carlos Tevez.
Bayern could now give the 26-year-old the chance to return to Germany, according to The Mirror.
City paid out £27m to Wolfsburg for Dzeko in January 2011.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Manchester CityMan City | 32 | 22 | 7 | 3 | 76 | 32 | 44 | 73 |
| 2 | Arsenal | 32 | 22 | 5 | 5 | 75 | 26 | 49 | 71 |
| 3 | Liverpool | 32 | 21 | 8 | 3 | 72 | 31 | 41 | 71 |
| 4 | Aston Villa | 33 | 19 | 6 | 8 | 68 | 49 | 19 | 63 |
| 5 | Tottenham HotspurSpurs | 32 | 18 | 6 | 8 | 65 | 49 | 16 | 60 |
| 6 | Newcastle UnitedNewcastle | 32 | 15 | 5 | 12 | 69 | 52 | 17 | 50 |
| 7 | Manchester UnitedMan Utd | 32 | 15 | 5 | 12 | 47 | 48 | -1 | 50 |
| 8 | West Ham UnitedWest Ham | 33 | 13 | 9 | 11 | 52 | 58 | -6 | 48 |
| 9 | Chelsea | 31 | 13 | 8 | 10 | 61 | 52 | 9 | 47 |
| 10 | Brighton & Hove AlbionBrighton | 32 | 11 | 11 | 10 | 52 | 50 | 2 | 44 |
| 11 | Wolverhampton WanderersWolves | 32 | 12 | 7 | 13 | 46 | 51 | -5 | 43 |
| 12 | Fulham | 33 | 12 | 6 | 15 | 49 | 51 | -2 | 42 |
| 13 | Bournemouth | 32 | 11 | 9 | 12 | 47 | 57 | -10 | 42 |
| 14 | Crystal Palace | 32 | 8 | 9 | 15 | 37 | 54 | -17 | 33 |
| 15 | Brentford | 33 | 8 | 8 | 17 | 47 | 58 | -11 | 32 |
| 16 | Everton | 32 | 9 | 8 | 15 | 32 | 48 | -16 | 27 |
| 17 | Nottingham ForestNott'm Forest | 33 | 7 | 9 | 17 | 42 | 58 | -16 | 26 |
| 18 | Luton TownLuton | 33 | 6 | 7 | 20 | 46 | 70 | -24 | 25 |
| 19 | Burnley | 33 | 4 | 8 | 21 | 33 | 68 | -35 | 20 |
| 20 | Sheffield UnitedSheff Utd | 32 | 3 | 7 | 22 | 30 | 84 | -54 | 16 |
| > Premier League Full Table | |||||||||
