The Blues, with the substantial backing of the Abu Dhabi United Group, are determined to establish themselves as one of the world's top clubs as soon as possible.
While this remains a long-term plan for now, the Middle Eastern businessmen who are bankrolling the club will expect to see gradual progression over the next few years.
A top four finish, and UEFA Champions League football, is the ultimate goal and Zabaleta fully expects City to be plying their trade on Europe's biggest stage in the not too distant future.
"The aim of the club is to get into the top four," said Zabaleta.
"We have the chance to make history here.
"The club have money and in the summer I think there will be even more good players coming, so it is up to the ones who are here now to play very well for the manager and push Manchester City even higher."
HappyZabaleta hopes he will still be at Eastlands should the club achieve their targets, with the South American full-back admitting he has been impressed by the standard of football in England.
"This is the best league in the world," he said.
"There are four English teams in the quarter-finals of the Champions League and we are still in the UEFA Cup, which says it all.
"I have not been here long but I am really enjoying myself."