Fans were angered after Claudia Romani, 33, posted pictures online of her wearing the famous Rossoneri colours.
She is qualified to officiate in Italy’s Serie A and B divisions – meaning she could ref a Milan game in theory.
The former model – originally from Serbia – has boosted her followers on Instagram from 60,000 to 175,000 in less than a year.
Last year she reportedly said: “Running around on the pitch with all those players and calling the shots is just an irresistible opportunity.”