Fenerbahce finished last season as runners-up in the Super Lig and qualified for the Europa League as virtue of being knocked out in the Champions League play-off round against Monaco.
The Yellow Canaries were drawn from Pot 2 while United were a Pot 1 side despite having a disappointing league campaign finishing the Premier League in 5th place.
United did however, strengthen over the summer bringing in the likes of Paul Pogba, Zlatan Ibrahimovic over the summer.
Fenerbahce meanwhile are coached by Dick Advocaat who replaced Vitor Periera a fortnight ago.
The match up will see former United star Robin van Persie take on his former side United who he left last season for Turkey on a three-year deal.
Group A: Manchester United, Fenerbahce, Feyenoord, Zorya Luhansk
Group B: Olympiacos, Apoel Nicosia, Young Boys, Astana
Group C: Anderlecht, St Etienne, Mainz, Qabala
Group D: Zenit, AZ Alkmaar, Maccabi Tel Aviv, Dundalk
Group E: Viktoria Plzen, Roma, Austria Vienna, Astra
Group F: Athletic Bilbao, Genk, Rapid Vienna, Sassulo
Group G: Ajax, Standard Liege, Celta Vigo, Panathinaikos
Group H: Shakhtar Donetsk, Braga, Gent, Konyaspor
Group I: Schalke, Salzburg, Krasnodar, Nice
Group J: Fiorentina, PAOK, Slovan Liberec, Qarabag,
Group K: Internazionale, Sparta Prague, Southampton, Hapoel Beer Sheva
Group L: Villarreal, Steaua Bucharest, Zurich, Osmanlispor