Daniel James had cancelled out a first-half Jordan Ayew effort to leave the two teams level in the 89th minute, before Van Aanholt squeezed his strike under David de Gea in the final exchanges as Palace recorded their first ever Premier League win over the Red Devils.
Read how it all unfolded in Sports Mole's minute-by-minute live coverage of the action.
Palace, meanwhile, opened their 2019-20 campaign with a goalless draw at home to Everton before losing away to Sheffield United last weekend. Right, time for the team news...
UNITED: De Gea; Wan-Bissaka, Lindelof, Maguire, Shaw; McTominay, Pogba; James, Lingard, Rashford, Martial
PALACE: Guaita; Ward, Kelly, Cahill, Van Aanholt; Milivojevic, Kouyate, McArthur; Schlupp, Ayew, Zaha
Palace, meanwhile, have plenty of quality on their bench in the shape of Benteke, Meyer, Townsend and McCarthy. Hodgson's change of tactics have certainly worked thus far.