Massimiliano Allegri's worries were deepened by Monza's first win in their history, a victory over his old club.
The win moved Monza off the bottom of the table.
The Argentine was sent off for the 10th time in his career in the first half.
For the first time in their history, Monza were promoted to Italy's top league.
The club came through the play-offs despite missing out on automatic promotion.
Italy internationals Matteo Pessina and Stefano Sensi are also in the side.
The son of a former Bianco player came on for Monza.
Manager Allegri's position is under threat after a poor start to the season for the Bianconeri.
They haven't won in seven games and have lost both of their games in the competition.