Manchester United will play Granada and Arsenal have been paired against Slavia Prague.
Ajax play Roma, while Villarreal will clash with Dinamo Zagreb for a place in the semis.
The first-leg matches will be played on Thursday April 8, 2021.
The second legs are scheduled for Thursday April 15, 2021.
EUROPA LEAGUE QUARTER-FINAL FIXTURES:
Granada vs Manchester United
Arsenal vs Slavia Prague
Ajax vs Roma
Villarreal vs Dinamo Zagreb