| 1. Round | 01/09/1984 | Real Zaragoza | - | Hércules CF | 0:1 |  |
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| 3. Round | 22/09/1984 | Hércules CF | - | CA Osasuna | 1:1 | ||||
| 4. Round | 28/09/1984 | Real Sociedad | - | Hércules CF | 4:0 | ||||
| 5. Round | 07/10/1984 | Hércules CF | - | Real Betis | 2:2 | ||||
| 8. Round | 28/10/1984 | Valencia CF | - | Hércules CF | 3:0 | ||||
| 11. Round | 17/11/1984 | Hércules CF | - | Sporting Gijón | 1:1 |
Spain