The ban comes after the arrest of 19 leaders of the "ultras" group in September. These fans are believed to have links with a powerful Italian mafia organization.
As a result of the ban, Inzaghi will miss the upcoming match from the bench, while Calhanoglu will not be able to play when Inter Milan hosts Verona on Saturday.
Inter Milan has been fined 70,000 euros as a result of the case, while AC Milan received a 30,000 euros fine.
