City won their first Premier League crown two years ago at the Etihad Stadium when goals in injury time saw the club crowned champions on goal difference ahead of rivals Manchester United.
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"I think we were talking about that [2011-12 title win] this week," Zabaleta told reporters.
"We know we have been in this situation two years ago and the most important thing we have learned from that time is the team spirit, to keep fighting and keep going.
"Hopefully, we can continue winning all the games and show one more time that these players, this manager, this team, with the staff still working hard, is very hungry for the title."
City capitalised on leaders Liverpool's 2-0 loss to Chelsea with a victory over Crystal Palace by the same scoreline on Sunday, leaving them three points behind Brendan Rodgers' side with a game in hand.
Manuel Pellegrini's men have a superior goal difference and can be confident that winning all of their final three games will be enough to finish top of the pile - though Chelsea are still in the mix, too.
Zabaleta continued: "We cannot forget Chelsea. They have a top team, they have a top manager. They showed they are still very hungry for the title.
"Everything is very tight at the top and it is going to be a fantastic race between now and the end.
"The next game is Everton away and we know it is going to be tough. Everton away has been difficult for us. They are playing for fourth place so nothing is going to be easy and we need to show character, personality. We have got a big chance.
"We said before Crystal Palace we need Liverpool to drop some points. They have but nothing is settled."