| 1. Round | 18/07/1998 | FC Luzern | - | FC Zürich | 3:2 |  |
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| 2. Round | 21/07/1998 | FC Zürich | - | Servette FC | 0:1 | ||||
| 3. Round | 25/07/1998 | FC Basel 1893 | - | FC Zürich | 2:1 | ||||
| 4. Round | 31/07/1998 | FC Zürich | - | Neuchâtel Xamax FC | 1:1 | ||||
| 5. Round | 07/08/1998 | FC St. Gallen | - | FC Zürich | 0:0 | ||||
| 6. Round | 16/08/1998 | FC Zürich | - | Grasshopper Club Zürich | 0:0 | ||||
| 8. Round | 29/08/1998 | FC Zürich | - | BSC Young Boys | 3:2 | |
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| 9. Round | 07/09/1998 | FC Lugano | - | FC Zürich | 0:0 | ||||
| 10. Round | 11/09/1998 | FC Zürich | - | FC Sion | 3:0 | |
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| 11. Round | 20/09/1998 | FC Aarau | - | FC Zürich | 0:2 | ||||
| 12. Round | 25/09/1998 | FC Zürich | - | FC Luzern | 2:0 | |
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| 13. Round | 03/10/1998 | Servette FC | - | FC Zürich | 3:1 | ||||
| 14. Round | 16/10/1998 | FC Zürich | - | FC Basel 1893 | 1:0 | |
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| 15. Round | 24/10/1998 | Neuchâtel Xamax FC | - | FC Zürich | 1:1 | ||||
| 16. Round | 30/10/1998 | FC Zürich | - | FC St. Gallen | 3:1 | ||||
| 17. Round | 08/11/1998 | Grasshopper Club Zürich | - | FC Zürich | 1:2 | |
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| 18. Round | 14/11/1998 | FC Zürich | - | Lausanne Sports | 3:3 | |
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| 20. Round | 29/11/1998 | FC Zürich | - | FC Lugano | 4:1 | ||||
| 22. Round | 13/12/1998 | FC Zürich | - | FC Aarau | 1:0 |
Switzerland