Jose Mourinho's side are favourites to win their first Europa League trophy, but must first navigate past the Belgian side to reach the last four.
Elsewhere, Celta Vigo take on Genk, Ajax will face Schalke, and Lyon play Besiktas.
EUROPA LEAGUE QUARTER-FINAL DRAW
Anderlecht v Manchester United
Celta Vigo v Genk
Ajax v Schalke
Read the full article on eurosport.co.uk: Man Utd drawn against Anderlecht in Europa League last eight