The £57.9 million Argentine winger is handed his Red Devils debut as Louis van Gaal's side travel to Turf Moor, looking for their first win of the Premier League campaign
The Dutchman has made two changes to the side which drew 1-1 with Sunderland as Jonny Evans replaces Chris Smalling, while Di Maria comes in for Tom Cleverley.
The Argentine is set to play in central midfield in an attacking line-up.
Meanwhile, Sean Dyche names an unchanged starting XI from the Clarets' 1-0 defeat against Swansea City, as Danny Ings and Lukas Jutkiewicz continue up top.
Burnley: Heaton; Trippier, Duff, Shackell (c), Mee; Arfield, Jones, Marney, Taylor; Ings, Jutkiewicz
Subs: Gilks, Ward, Reid, Long, Wallace, Sordell, Barnes
Manchester United: De Gea; Jones, Evans, Blackett; Valencia, Fletcher, Di Maria, Young; Mata; Rooney, Van Persie
Subs: Januzaj, Hernandez, Welbeck, James, Keane, Anderson, Amos