Ole Gunnar Solskjaer’s side are looking for their second win in the competition in four seasons, while the Danish outfit have never before reached this stage.
The winners of this quarter-final tie will face Wolves or Sevilla in the last four.
United fans will expect to see a full-strength lineup, after several regulars were rested in the second leg against LASK last week.
Here’s all you need to know about the game.
When is it and what time is kick-off?
The match will begin at 8pm BST on Monday 10 August at Stadion Koln, in Germany.
How can I watch it online and on TV?
The game will be broadcast live on BT Sport 1 and BT Sport Extra 1, as well as BT Sport Ultimate.
Subscribers can also stream the match on the BT Sport website and app.
United: Romero; Wan-Bissaka, Bailly, Maguire, Williams; Fred, Pogba; Greenwood, Fernandes, Rashford; Martial.
Copenhagen: Johnsson; Varela, Nelsson, Bjelland, Boilesen; Zeca, Stage; Biel, Wind, Falk; Daramy.
Man United — 2/7
Draw — 67/13
Copenhagen — 12/1