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