Having celebrated his team's survival after a 2-2 draw on Sunday that sent Wednesday down, Palace defender Clint Hill was chased off the field by fans, one of whom was aiming punches at the back of the player's head.
The Football Association said Monday it would probably decide Tuesday whether to take any action after examining the video and reports from match officials. South Yorkshire police have promised more arrests on top of the eight made outside the ground.
Trouble also flared Monday at a game between two sides trying to gain promotion to League Two.
After York won 1-0 at Luton to capture a spot in the playoff final at Wembley, Luton fans tried to get at the visiting players who were celebrating with their supporters.
They fought with police and security staff and began hurling bottles and other objects at the York players, who needed protection to get back to the changing rooms.
