Holders Lyon face Chelsea in Women's Champions League quarters
Chelsea, who topped their group ahead of Paris Saint-Germain, will travel to France for the first leg with the tie to be played in late March.
Lyon won the Champions League for a record eighth time last season, defeating Barcelona in the final, but they came second to Arsenal in their group this season, losing 5-1 at home to the Gunners.
Arsenal, who are currently third in the WSL, will play Bayern Munich with the winner of that tie advancing to a semi-final against either PSG or Wolfsburg in late April.
Chelsea or Lyon will play either 2021 winners Barcelona or Roma in the other semi-final.
This season's final will be played in the Dutch city of Eindhoven on June 3.
Draw
Quarter-finals
Bayern Munich (GER) v Arsenal (ENG)
Lyon (FRA) v Chelsea (ENG)
Roma (ITA) v Barcelona (ESP)
Paris Saint-Germain (FRA) v Wolfsburg (GER)
Semi-finals
PSG or Wolfsburg v Bayern or Arsenal
Lyon or Chelsea v Roma or Barcelona
Quarter-final first legs March 21/22, second legs March 29/30
Semi-final first legs April 22/23, second legs April 29/30