Red Devils manager Jose Mourinho will be relieved that it will be a short trip for United this time following their narrow last-16 win over Russian side Rostov.
The first leg will take place in Brussels on April 13, with the second match at Old Trafford a week later.
More to follow…
Europa League quarter-final draw
Anderlecht v Manchester United
Celta Vigo v Genk
Ajax v Schalke
Lyon v Besiktas
First legs to be played on April 13; second legs on April 20