Goals from Wilfried Zaha and Christian Benteke sealed a memorable win for Sam Allardyce's side, while Tottenham's 2-0 victory at Burnley has cut the lead at the top to seven points.
Chelsea XI: Courtois, Azpilicueta, Luiz, Cahill, Pedro, Kante, Matic, Alonso, Fabregas, Costa, Hazard
Subs: Begovic, Zouma, Loftus-Cheek, Willian, Batshuayi, Terry, Chalobah
Crystal Palace XI: Hennessey, Ward, Tomkins, Sakho, Schlupp, Cabaye, Milivojevic, Zaha, Puncheon, Townsend, Christian Benteke
Subs: Speroni, Dann, Ledley, KaiKai, Sako, Delaney, Kelly
Referee: Craig Pawson (South Yorkshire)
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WHAT THEY SAID
Antonio Conte: "It's a pity for [Sam Allardyce] being sacked by the national team after only one game.
"I know the importance of being the coach of your country, for the national team."
Sam Allardyce: "It's going to be a difficult task, but not impossible. If we get a chance we have to take it.
"It's a game for us to try to get a point in - or three."