City will have to fight off Chelsea, Liverpool and Arsenal for the elite trophy, but the North-West outfit have games in hand over their opponents.
"We need to try to win every game, but everything is in our hands," the Belfast Telegraph quotes Zabaleta as saying. "We don't have an excuse now.
"We only have Premier League games and we have time to recover well between the games. We know it is going to be very tough until the end, but we have a great team - we have enough belief to win this title."
City are currently third in the table, six points behind leaders Chelsea with three games in hand.