The 17-year-old is one the hottest young properties in Europe, and Hoops boss Mark Hughes is "desperate" to boost his central defensive options, according to The Sun.
QPR face competition from Juventus and Manchester City, who are also said to be interested in the defender.
Zouma started for Saint Etienne in their opening game of the Ligue 1 season against Lille on Saturday.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| P | Leicester CityLeicester | 44 | 30 | 4 | 10 | 86 | 39 | 47 | 94 |
| 2 | Leeds UnitedLeeds | 45 | 27 | 9 | 9 | 80 | 41 | 39 | 90 |
| 3 | Ipswich TownIpswich | 43 | 26 | 11 | 6 | 85 | 53 | 32 | 89 |
| 4 | Southampton | 45 | 25 | 9 | 11 | 85 | 62 | 23 | 84 |
| 5 | Norwich CityNorwich | 45 | 21 | 10 | 14 | 79 | 63 | 16 | 73 |
| 6 | West Bromwich AlbionWest Brom | 45 | 20 | 12 | 13 | 67 | 47 | 20 | 72 |
| 7 | Hull City | 44 | 19 | 12 | 13 | 65 | 56 | 9 | 69 |
| 8 | Middlesbrough | 45 | 19 | 9 | 17 | 68 | 61 | 7 | 66 |
| 9 | Coventry CityCoventry | 44 | 17 | 13 | 14 | 68 | 55 | 13 | 64 |
| 10 | Preston North EndPreston | 44 | 18 | 9 | 17 | 56 | 61 | -5 | 63 |
| 11 | Bristol City | 45 | 17 | 11 | 17 | 53 | 47 | 6 | 62 |
| 12 | Cardiff CityCardiff | 45 | 19 | 5 | 21 | 51 | 65 | -14 | 62 |
| 13 | Swansea CitySwansea | 45 | 15 | 12 | 18 | 59 | 64 | -5 | 57 |
| 14 | Watford | 45 | 13 | 17 | 15 | 60 | 58 | 2 | 56 |
| 15 | Sunderland | 45 | 16 | 8 | 21 | 52 | 52 | 0 | 56 |
| 16 | Millwall | 45 | 15 | 11 | 19 | 44 | 55 | -11 | 56 |
| 17 | Queens Park RangersQPR | 45 | 14 | 11 | 20 | 45 | 57 | -12 | 53 |
| 18 | Stoke CityStoke | 45 | 14 | 11 | 20 | 45 | 60 | -15 | 53 |
| 19 | Blackburn RoversBlackburn | 45 | 13 | 11 | 21 | 58 | 74 | -16 | 50 |
| 20 | Sheffield WednesdaySheff Weds | 45 | 14 | 8 | 23 | 42 | 68 | -26 | 50 |
| 21 | Plymouth ArgylePlymouth | 45 | 12 | 12 | 21 | 58 | 70 | -12 | 48 |
| 22 | Birmingham CityBirmingham | 45 | 12 | 11 | 22 | 49 | 65 | -16 | 47 |
| 23 | Huddersfield TownHuddersfield | 45 | 9 | 18 | 18 | 48 | 75 | -27 | 45 |
| R | Rotherham UnitedRotherham | 45 | 4 | 12 | 29 | 32 | 87 | -55 | 24 |
| > Championship Full Table | |||||||||
