The Bosnian is thought to be unhappy with his limited number of opportunities at the Etihad Stadium in recent months.
The recent return of Carlos Tevez has now cast the 26-year-old's future into even further doubt.
City could offload the forward for around £20m, according to the Daily Mail.
Dzeko moved to City from Wolfsburg in January 2011 for £27m.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Arsenal | 36 | 26 | 5 | 5 | 88 | 28 | 60 | 83 |
| 2 | Manchester CityMan City | 35 | 25 | 7 | 3 | 87 | 33 | 54 | 82 |
| 3 | Liverpool | 36 | 23 | 9 | 4 | 81 | 38 | 43 | 78 |
| 4 | Aston Villa | 36 | 20 | 7 | 9 | 73 | 53 | 20 | 67 |
| 5 | Tottenham HotspurSpurs | 35 | 18 | 6 | 11 | 69 | 58 | 11 | 60 |
| 6 | Newcastle UnitedNewcastle | 35 | 17 | 5 | 13 | 78 | 56 | 22 | 56 |
| 7 | Chelsea | 35 | 15 | 9 | 11 | 70 | 59 | 11 | 54 |
| 8 | Manchester UnitedMan Utd | 35 | 16 | 6 | 13 | 52 | 55 | -3 | 54 |
| 9 | West Ham UnitedWest Ham | 36 | 13 | 10 | 13 | 56 | 70 | -14 | 49 |
| 10 | Bournemouth | 36 | 13 | 9 | 14 | 52 | 63 | -11 | 48 |
| 11 | Brighton & Hove AlbionBrighton | 35 | 12 | 11 | 12 | 53 | 57 | -4 | 47 |
| 12 | Wolverhampton WanderersWolves | 36 | 13 | 7 | 16 | 49 | 60 | -11 | 46 |
| 13 | Fulham | 36 | 12 | 8 | 16 | 51 | 55 | -4 | 44 |
| 14 | Crystal Palace | 36 | 11 | 10 | 15 | 49 | 57 | -8 | 43 |
| 15 | Everton | 36 | 12 | 9 | 15 | 38 | 49 | -11 | 37 |
| 16 | Brentford | 36 | 9 | 9 | 18 | 52 | 60 | -8 | 36 |
| 17 | Nottingham ForestNott'm Forest | 36 | 8 | 9 | 19 | 45 | 63 | -18 | 29 |
| 18 | Luton TownLuton | 36 | 6 | 8 | 22 | 49 | 78 | -29 | 26 |
| 19 | Burnley | 36 | 5 | 9 | 22 | 39 | 74 | -35 | 24 |
| R | Sheffield UnitedSheff Utd | 36 | 3 | 7 | 26 | 35 | 100 | -65 | 16 |
| > Premier League Full Table | |||||||||
