Gazzetta dello Sport correspondent Nicolò Schira has taken to Twitter to claim that the Hammers are set to seal a deal for the experienced right-back, 32.
Schira, has reputation for breaking transfer stories, reported on his personal Twitter account that Zabaleta will sign a contract with West Ham that runs for three years until 2020.
West Ham appear to have stolen a march on their rivals to land the Argentina international, whose City contract expires at the end of the season.
Zabaleta will go down in history as one of City’s greatest-ever signings after joining from Espanyol in 2008 for £7.4million.