Maxi has played just 15 minutes so far this season, leading to rumours of a loan move this month.
City were said to be interested, along with West Ham, Real Betis and Real Sociedad, but Maxi is happy to stay with the Spanish champions.
"I am staying because I can learn a lot from my team-mates,” he said.
“Here I am growing a lot and I am going to continue working and waiting for my chances.”
The 21-year-old may get a chance later this month with Samuel Eto’o playing at the African Cup of Nations for Cameroon.