The controversial striker was left out of City's squad for the 2-1 victory over Tottenham on Sunday, after reports suggested the 22-year-old was out until the early hours the night before.
"Mancini has chosen to give a signal, it is his right to make choices," Gregucci told Italy's Sky Sport 24.
"Perhaps during the past week, something was missing, but [Balotelli] is ready to take back the shirt of Manchester City.
"Will he remain? It's not for me to say, I only know that it [the situation] is clearly recoverable."