| Perpignan beat Chamois Niortais 3-0 (H) on 21 Sep 1996 |
| Chamois Niortais beat Beauvais 2-0 (A) on 7 Sep 1996 |
| Beauvais beat Gueugnon 2-1 (H) on 18 Sep 1996 |
| Gueugnon beat Mulhouse 2-1 (A) on 10 Aug 1996 |
| Mulhouse beat Martigues 1-0 (H) on 20 Aug 1996 |
| Martigues beat Stade Briochin 2-1 (H) on 16 Aug 1996 |
| Stade Briochin beat Toulouse 1-0 (A) on 4 Sep 1996 |
| Toulouse beat Red Star 93 3-2 (H) on 14 Sep 1996 |
| Red Star 93 beat Le Mans 1-0 (A) on 16 Aug 1996 |
| Le Mans beat Amiens 2-0 (H) on 24 Aug 1996 |
| Amiens beat Louhans Cuiseaux 2-0 (H) on 21 Sep 1996 |
| Louhans Cuiseaux beat Épinal 1-0 (A) on 4 Sep 1996 |
| Épinal beat ASOA Valence 1-0 (H) on 14 Sep 1996 |
| ASOA Valence beat Châteauroux 1-0 (H) on 18 Sep 1996 |
| Châteauroux beat FCO Charleville 1-0 (H) on 14 Sep 1996 |
| FCO Charleville beat Lorient 2-1 (H) on 10 Aug 1996 |
| Lorient beat Sochaux 1-0 (A) on 7 Sep 1996 |
| Sochaux beat Saint Étienne 4-1 (H) on 20 Aug 1996 |
| Saint Étienne beat Troyes 2-0 (A) on 11 Aug 1996 |
| Troyes beat Toulon 5-0 (H) on 18 Sep 1996 |
| Toulon beat Stade Lavallois 4-1 (H) on 14 Sep 1996 |
| Stade Lavallois beat Perpignan 4-0 (A) on 4 Sep 1996 |
HWC: Thick arrows show the earliest chain of wins that passes through every team and returns to its start.