Antonio Conte insists it is Diego Costa's work rate that is most important for the Spanish striker.
Van Aanholt, who started the afternoon on the bench, scored an 83rd-minute equaliser to clinch a 1-1 draw with West Brom at the Stadium of Light.
Swansea City boss Francesco Guidolin vowed to fight on after another defeat cast further doubt over his future at the Liberty Stadium.
Chelsea returned to winning ways in the league, brushing aside Hull City 2-0 on the back of excellent individual goals from Willian and Diego Costa.
Hull City boss Mike Phelan has said he will use the international break to continue discussions about taking on the permanent job at the KCOM Stadium.
Patrick Van Aanholt saved the day for Sunderland, netting home the late equaliser versus West Brom.