The impressive win ensured a Fourth Round tie against either Oxford or Arsenal, who face each other on Monday at 20:00 (UK time) at the Kassam Stadium.
It was the eighth meeting between City and Chelsea in the FA Cup – we have now won five while the Blues have won three of those ties.
In this latest encounter, Riyad Mahrez set us on our way with a superb free-kick on 23 minutes before Julian Alvarez, fresh his World Cup win in Qatar, scored a second from the spot seven minutes later following a handball from Kai Havertz.
Phil Foden scored our third on 38 minutes, turning in Kyle Walker's pinpoint cross after he had been played in by Mahrez.
Mahrez then got his second – and our fourth - from the spot on 84 minutes after Kalidou Koulibaly fouled Foden in the box.
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