Goals from Gabriel Jesus, Riyad Mahrez and Phil Foden sealed the victory.
The Blues are looking to successfully defend the trophy having won the competition for the fifth time in February.
Here’s everything you need to know about the draw for the next round.
When does the draw take place?
The draw for the fourth round of this season’s Carabao Cup take place live on the EFL’s highlights programme at 9pm on Saturday 29 September.
The scheduled programme, broadcast on Quest, will be extended by a further 15 minutes to accommodate the draw, and ensure full EFL highlights from all three divisions are aired as normal.
Where can I find Quest?
Available free-to-air on:
• Freeview (Channel 37)
• Freesat on (Channel 167)
Available on subscription services:
• Sky (Channel 144)
• Virgin Media (Channel 172)
• BT TV (Channel 37)
What number are City?
Ball numbers for the Round Four draw will be announced in due course.