Jose Mourinho’s side were among the top seeds in Friday’s draw and were first out of the pot to be placed in Group A.
United will come up against a familar face when they take on Fenerbahce, with former striker Robin van Persie part of the Turkish side’s squad.
Of their other opponents, Dutch outfit Feyenoord are well known to United but they face a trip into the unknown against Ukrainian side Zorya Luhansk.
The European debutants – who reached the play-offs in the last two years but failed to progress – are based in the east of the country close to the border with Russia.
However, because of the war in that part of the country United are set to play at the Slavutych Arena in Zaporizhia, which is more centrally located.
They will face Italian giants Inter Milan, as well as Czech side Sparta Prague and Hapoel Be’er-Sheva of Israel.
League of Ireland side Dundalk are in Group D, alongside Zenit St Petersburg, AZ Alkmaar and Maccabi Tel-Aviv.
Group A: Manchester United, Fenerbahce, Feyenoord, Zorya Luhansk
Group B: Olympiacos, APOEL, Young Boys, Astana
Group C: Anderlecht, St-Étienne, Mainz, Qabala
Group D: Zenit, AZ Alkmaar, Maccabi Tel-Aviv, Dundalk
Group E: Viktoria Plzen, Roma, Austria Wien, Astra Giurgiu
Group F: Athletic Bilbao, Genk, Rapid Wien, Sassuolo
Group H: Shakhtar Donetsk, Braga, Gent, Konyaspor
Group I: Schalke, Red Bull Salzburg, Krasnodar, Nice
Group J: Fiorentina, PAOK, Slovan Liberec, Karabakh
Group K: Inter Milan, Sparta Prague, Southampton, Hapoel Be’er-Sheva
Group L: Villarreal, Steaua Bucharest, FC Zürich, Osmanlispor