Gareth Taylor's side will lock horns with the Toffees at the Academy Stadium on Sunday 20 March 2022 for a place in the final four.
The draw was made on BBC One's Morning Show on Tuesday, after we had booked our place in the last eight with thumping 8-0 and 4-1 victories over Nottingham Forest and Manchester United.
Everton reached the quarter-finals with 4-0 and 2-0 wins over Huddersfield and Charlton Athletic.
City have lifted the FA Cup three times since 2017 and defeated Everton in our last Wembley triumph, emerging victorious after extra-time after the two sides had played out a 1-1 draw in normal time.
Fixture and ticket information will be confirmed in due course.
Chelsea v Birmingham City
Arsenal v Coventry United
Manchester City v Everton
Ipswich Town v West Ham United
Quarter-final: Sunday 20 March 2022
Semi-final: Sunday 17 April 2022
Final: Sunday 15 May 2022 at Wembley Stadium