Pep Guardiola's side will welcome the league leaders of former City legend Vincent Kompany for a place in the final four.
The match will be played over the weekend of March 18/19, with exact kick-off date and time to be confirmed on mancity.com and the official app in due course.
For former City captain Kompany, who spent 11 glorious years at the club between 2008 and 2019, it will be an exciting return to the Etihad, with the Belgian enjoying a superb first season in charge at Turf Moor.
Ironically, Kompany's last game for City was the 2019 FA Cup Final, which he led to victory over Watford.
City, who have reached the quarter-finals of the FA Cup the last five seasons, secured their place in the last 16 thanks to Tuesday's emphatic 3-0 win against Bristol City.