West Brom boss Slaven Bilic remains under pressure at the Hawthorns.
Palace recorded their biggest ever away win in the Premier League in Sunday's 5-1 rout of promoted Albion.
The Baggies fell apart in the second half after the dismissal of Matheus Pereira in the first half at 1-1.
Croatian Bilic, 52, is now fighting to save his job at The Hawthorns after clashing previously with the Chinese-owned club's hierarchy.
Bilic remains in his post and looks likely to get at least one more game at Newcastle on Saturday.
But his position is under greater scrutiny than at any stage in his 18-month reign.