The 22-year-old has repeatedly been linked with a move to the Gunners this summer.
"I know Lyon have refused an offer from Arsenal," the French international told Le Parisien. "Of course it's flattering that clubs are interested in me."
Grenier signed his first professional contract with Lyon in 2009 after graduating from the club's youth academy.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 29 | 21 | 7 | 1 | 69 | 27 | 42 | 70 |
| 2 | Arsenal | 29 | 16 | 10 | 3 | 53 | 24 | 29 | 58 |
| 3 | Nottingham ForestNott'm Forest | 29 | 16 | 6 | 7 | 49 | 35 | 14 | 54 |
| 4 | Chelsea | 29 | 14 | 7 | 8 | 53 | 37 | 16 | 49 |
| 5 | Manchester CityMan City | 29 | 14 | 6 | 9 | 55 | 40 | 15 | 48 |
| 6 | Newcastle UnitedNewcastle | 28 | 14 | 5 | 9 | 47 | 38 | 9 | 47 |
| 7 | Brighton & Hove AlbionBrighton | 29 | 12 | 11 | 6 | 48 | 42 | 6 | 47 |
| 8 | Fulham | 29 | 12 | 9 | 8 | 43 | 38 | 5 | 45 |
| 9 | Aston Villa | 29 | 12 | 9 | 8 | 41 | 45 | -4 | 45 |
| 10 | Bournemouth | 29 | 12 | 8 | 9 | 48 | 36 | 12 | 44 |
| 11 | Brentford | 29 | 12 | 5 | 12 | 50 | 45 | 5 | 41 |
| 12 | Crystal Palace | 28 | 10 | 9 | 9 | 36 | 33 | 3 | 39 |
| 13 | Manchester UnitedMan Utd | 29 | 10 | 7 | 12 | 37 | 40 | -3 | 37 |
| 14 | Tottenham HotspurSpurs | 29 | 10 | 4 | 15 | 55 | 43 | 12 | 34 |
| 15 | Everton | 29 | 7 | 13 | 9 | 32 | 36 | -4 | 34 |
| 16 | West Ham UnitedWest Ham | 29 | 9 | 7 | 13 | 33 | 49 | -16 | 34 |
| 17 | Wolverhampton WanderersWolves | 29 | 7 | 5 | 17 | 40 | 58 | -18 | 26 |
| 18 | Ipswich TownIpswich | 29 | 3 | 8 | 18 | 28 | 62 | -34 | 17 |
| 19 | Leicester CityLeicester | 29 | 4 | 5 | 20 | 25 | 65 | -40 | 17 |
| 20 | Southampton | 29 | 2 | 3 | 24 | 21 | 70 | -49 | 9 |
| > Premier League Full Table | |||||||||
