| 1. Round | 01/09/1984 | Real Zaragoza | - | Hércules CF | 0:1 |  |
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| 3. Round | 22/09/1984 | Real Valladolid | - | Real Zaragoza | 1:1 | ||||
| 4. Round | 29/09/1984 | Real Zaragoza | - | Athletic Club | 1:0 | ||||
| 5. Round | 07/10/1984 | Sevilla FC | - | Real Zaragoza | 2:1 | ||||
| 6. Round | 12/10/1984 | Real Zaragoza | - | Real Madrid | 0:2 | ||||
| 17. Round | 22/12/1984 | Valencia CF | - | Real Zaragoza | 4:1 | |
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| 29. Round | 16/03/1985 | Espanyol Barcelona | - | Real Zaragoza | 3:2 | ||||
| 30. Round | 23/03/1985 | Real Zaragoza | - | Real Sociedad | 1:2 | |
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| 31. Round | 30/03/1985 | Real Betis | - | Real Zaragoza | 2:0 |
Spain