The Argentina international winger, thrown straight into the starting XI after his £57.9 million move from Real Madrid, was replaced by Anderson shortly after an injury
The winger, who was signed for a British-record £57.9 million on Tuesday, had required treatment just five minutes before being withdrawn.
Di Maria flexed his knee after the treatment and manager Louis van Gaal will be hoping that the issue was no worse than cramp.
The 26-year-old started against Burnley at Turf Moor, having been thrown straight in by Van Gaal, and played in an attacking central midfield position.
He attempted one shot on goal and made three successful dribbles in a bright start to his career in the Red Devils' famous No.7 shirt.