The Blues were thoroughly outplayed by Pep Guardiola’s men in west London as Kevin De Bruyne struck a brilliant second-half winner for the visitors.
Hazard has started the game behind Alvaro Morata but the Spanish striker was forced off before half-time with a suspected hamstring problem.
The 26-year-old Belgium international cut a frustrated figure for much of the game as Manchester City dominated proceedings at Stamford Bridge.
And former Liverpool midfielder Gerrard feels that Hazard was clearly frustrated by the way the game was unfolding in west London.
Speaking to BT Sport on Saturday night, Gerrard said: “You could seen in his demeanour that he was frustrated.
“He was isolated and when Willian came on they just had no focal point.”
Chelsea return to Premier League action after the international break when they take on Crystal Palace at Selhurst Park on Saturday 14 October.
The west London side were crowned champions last season in Conte’s first campaign in charge at Stamford Bridge but they did not have the distraction of European football at all.
Chelsea are now fourth in the Premier League table and six points behind leaders Manchester City after seven games of the new campaign as they look to try and defend their title.
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