Arrests included a 21-year-old man for failing to remove a face mask and a 17-year-old boy for breaching a dispersal order.
Three individuals were arrested for racially aggravated public order offences, with another person detained for breach of the peace, as antisemitic chanting was heard outside the stadium.
Visiting fans were barred from attending the match at Villa Park due to public safety concerns, a decision made by Birmingham’s Safety Advisory Group.
Villa won the game 2-0 with goals from Dutch pair Ian Maatsen and Donyell Malen.