Their reward for reaching the final eight of the competition is a tie against the Belgian outfit, who finished third in the Jupiler League last season.
The first legs of the quarter-finals will be played on April 13 and the second legs take place on April 20, while the 2017 Europa League final will be played in Stockholm on May 24.
The draw for the Champions League last eight was also made earlier on Friday, with Leicester City handed a tie against Atletico Madrid.
Full Europa League quarter-final draw:
Anderlecht vs. Manchester United
Celta Vigo vs. Genk
Ajax vs. Schalke
Lyon vs. Besiktas