| 1. Round | 12/08/1972 | Norwich City | - | Everton FC | 1:1 | ||||
| 2. Round | 16/08/1972 | Manchester City | - | Everton FC | 0:1 | ||||
| 3. Round | 19/08/1972 | Everton FC | - | Manchester United | 2:0 | ||||
| 4. Round | 22/08/1972 | Everton FC | - | Crystal Palace | 1:1 | ||||
| 17. Round | 10/11/1972 | Everton FC | - | Manchester City | 2:3 | ||||
| 18. Round | 17/11/1972 | Arsenal FC | - | Everton FC | 1:0 | ||||
| 34. Round | 16/03/1973 | Everton FC | - | Sheffield United | 2:1 | ||||
| 30. Round | 03/04/1973 | Everton FC | - | Norwich City | 2:2 | ||||
| 27. Round | 11/04/1973 | West Bromwich Albion | - | Everton FC | 4:1 |
England