| 1. Round | 09/08/2020 | Arsenal Tula | - | Akhmat Grozny | 0:0 | ||||
| 2. Round | 14/08/2020 | Spartak Moskva | - | Akhmat Grozny | 2:0 | ||||
| 6. Round | 30/08/2020 | Akhmat Grozny | - | CSKA Moskva | 0:3 | ||||
| 8. Round | 21/09/2020 | Dinamo Moskva | - | Akhmat Grozny | 1:0 | ||||
| 9. Round | 27/09/2020 | Akhmat Grozny | - | FK Ural | 2:0 |  |
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| 10. Round | 04/10/2020 | Rubin Kazan | - | Akhmat Grozny | 1:1 | ||||
| 11. Round | 18/10/2020 | FK Rostov | - | Akhmat Grozny | 3:0 | ||||
| 12. Round | 25/10/2020 | Akhmat Grozny | - | FK Ufa | 3:1 | ||||
| 13. Round | 31/10/2020 | Akhmat Grozny | - | FK Krasnodar | 2:0 | ||||
| 14. Round | 07/11/2020 | FK Tambov | - | Akhmat Grozny | 0:1 | ||||
| 15. Round | 21/11/2020 | Akhmat Grozny | - | Zenit St. Petersburg | 2:2 | ||||
| 18. Round | 13/12/2020 | Akhmat Grozny | - | FK Rostov | 0:1 | ||||
| 21. Round | 06/03/2021 | CSKA Moskva | - | Akhmat Grozny | 2:0 | ||||
| 22. Round | 13/03/2021 | Zenit St. Petersburg | - | Akhmat Grozny | 4:0 | ||||
| 26. Round | 17/04/2021 | Akhmat Grozny | - | FK Khimki | 3:1 | |
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| 27. Round | 24/04/2021 | FK Ural | - | Akhmat Grozny | 1:1 |  |
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| 28. Round | 01/05/2021 | Rotor Volgograd | - | Akhmat Grozny | 1:0 | |
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| 29. Round | 07/05/2021 | Akhmat Grozny | - | FK Tambov | 3:1 | |
Russia