The club has also been fined £40,000 for fielding ineligible players.
Frimpong is a definite absentee for the Manchester City match after suffering a muscle injury in Liverpool's UCL fixture against Qarabag.
Inter’s sanction stems from the Cremonese–Inter fixture, where supporters threw firecrackers and smoke bombs onto the pitch.
The tournament is expected to coincide with the start of the 2026/27 season and would be staged at the federation’s headquarters.
The Olympiastadion has hosted the DFB-Pokal final every year since 1985.