Patrick Viera’s side grew into the game in the second-half but weren’t able to find the net.
Next up for the London club is a tricky trip to Liverpool next Monday.
Here is a look at all the latest news and rumours coming out of the club today....
Winger open to exit?
The winger played against the Gunners last time out but wasn’t able to cause Mikel Arteta’s too many problems.
As per a report by talkSPORT, the former Manchester United man would be ‘keen’ on a switch to Stamford Bridge.
Youngster Scott Banks has joined Bradford City on loan.
The Scotland youth international has been given the green light to head out the exit door on a deal until the end of the season to get some more experience under his belt.
He was part of the Palace squad that went to Singapore and then Australia for pre-season but will now be looking to help the Bantams rise out of League Two.
Released midfielder eyed by Premier League rivals
Nottingham Forest are reported to be interested in signing Cheikhou Koyate following his departure from Selhurst Park.
The Senegal international is currently a free agent after his contract expired at the end of June and he will be weighing up his next move.
As per FootMercato reporter Santi Aouna, he is wanted by Steve Cooper’s side.