Gigaba was reportedly against the arrest of his wife, despite opening a case, and bemoaned the manner in which she was arrested, the Sunday Times reported.
He particularly had a problem with the possibility that a Friday arrest usually meant a suspect would stay in jail the entire weekend before appearing in court.
Gigaba had also tried in vain to withdraw the charges - his and Norma's lawyers had also worked together to try and secure her release, the report said.
Gigaba was arrested on Friday for malicious damage to property and spent a night at the Brooklyn police cells before she was released on R5 000 bail on Saturday, News24 reported.
The Mercedes Benz G Wagon she allegedly thrashed belonged to Gigaba's close friend, the trade unionist Peterson Siyaya.
Norma's lawyer, Victor Nkwashu, confirmed on Saturday that she had been released from police cells and would appear on Monday in the Pretoria Magistrate's Court, where she faced charges of crimen injuria, malicious damage to property and assault, News24 reported.
Nkwashu told News24 she was in "good spirits" because she was going to see her children.