Pep Guardiola's men will face Newcastle at St James' Park on Sunday 28 June in a 6:30pm (BST) kick-off.
The game will be broadcast live on BBC One.
STAY SAFE: City face coverings now available
Should we progress, the semi-finals are provisionally scheduled across the weekend of Saturday 11 July and Sunday 12 July with the FA Cup Final set to be played on Saturday 1 August.
City’s defence of the trophy began with comprehensive home victories over Port Vale and Fulham, who were beaten 4-1 and 4-0 respectively.
Sergio Aguero scored the only goal in our fifth round eclipse of Sheffield Wednesday at Hillsborough to set up our last eight meeting with Newcastle.
The quarter-final stage is an all Premier League affair, with Leicester City hosting Chelsea and Sheffield United welcoming Arsenal to Bramall Lane, whilst Manchester United make the trip to Norwich City.
Norwich City v Manchester United
Saturday 27 June, 5.30pm BST
Sheffield United v Arsenal
Sunday 28 June, 1pm BST
Leicester City v Chelsea
Sunday 28 June, 4pm BST
King Power Stadium
Newcastle United v City
Sunday 28 June, 6:30pm BST
St James' Park