The draw is due to take place from around midday GMT, 7 a.m. ET on Friday, Feb. 24.
Saint-Etienne's Romain Hamouma has said that his side have a '7% chance' of qualification against Manchester United.
Galtier saw his team beaten 3-0 in the first leg at Old Trafford last week as Zlatan Ibrahimovic scored a hat trick.
United will play every 3.76 days between now and late May if they are to match Liverpool's three-trophy haul, once dubbed a "plastic treble" by fans.
Shaka Hislop says referee Pavel Kralovec was starstruck by Manchester United in their Europa League win over St Etienne.
Arsene Wenger has said that he will still be a manager next season, while Zlatan Ibrahimovic scored his first hat trick for Man United.