The Belgian international joins fellow new signing Wilfried Zaha as one of 10 midfielders in the 25-man squad.
United's two keepers will be David De Gea and Anders Lindegaard - defenders include Jonny Evans, Chris Smalling and Alex Buttner.
The left-back has been linked with a loan move away from Old Trafford, and earlier today the player's agent hit out at David Moyes over his handling of the move.
United face Real Sociedad, Bayer Leverkusen and Shakhtar Donetsk in the group, and will be hoping to go further in the competition than last season - when they were knocked out to Real Madrid in the last-16.
There is also space for the likes of Nani, Ashley Young and Antonio Valencia, while Shinji Kagawa - who was omitted for the match-day squad against Liverpool last Sunday - is also included.
Here is the full Manchester United squad list for the Champions League group stages -
Goalkeepers - David De Gea, Anders Lindegaard
Defenders - Rafael, Patrice Evra, Phil Jones, Rio Ferdinand, Jonny Evans, Chris Smalling, Nemanja Vidic, Fabio, Alexander Buttner
Midfielders - Anderson, Ryan Giggs, Michael Carrick, Nani, Ashley Young, Tom Cleverley, Antonio Valencia, Shinji Kagawa, Wilfried Zaha, Marouane Fellaini
Forwards - Wayne Rooney, Robin Van Persie, Javier Hernandez, Danny Welbeck