He swept the ball home from close range after being set up by Emmanuel Adebayor in the 72nd minute.
It has been a whirlwind week for Balotelli, whose registration was only received by UEFA on deadline day after he arrived last week from Inter Milan for a reported £24million.
City boss Mancini said: "He had a great debut and I am happy that he scored. He is a good player. "He needs to improve of course and get to know everybody. It was the first time he had played with the team."
Source: PA