Manchester United's reward for beating holders Chelsea in Monday's final fifth-round tie is a FA Cup quarter-final tie at Wolves.
Head League champions Manchester City are at Championship side Swansea City, with one more second-level side Millwall at home to Brighton.
Watford have Crystal Palace in the other last-eight tie.
DRAW RESULTS:
Swansea versus Man City
Watford versus Crystal Palace
Wolves versus Man Utd
Millwall versus Brighton
The quarter final ties will happen between Friday 15 March and Monday 18 March with winning clubs accepting £720,000 in prize cash.