Delhomme was taken out after a miserable performance Sunday brought his total turnovers to 11 in the past two meaningful games. McCown limped off with a left knee injury in the fourth quarter after he was sacked by Darren Howard.
Third-string quarterback Matt Moore entered the game with the Panthers trailing 38-10.
Philadelphia quarterback Donovan McNabb also left in the third quarter with a rib injury.
Carolina's problems started with Delhomme, who threw four interceptions and lost a fumble in less than three quarters Sunday against Philadelphia. Carolina coach John Fox pulled him for McCown, who received a loud cheer from the crowd, after Delhomme's fourth pick.
Delhomme was 7 of 17 for 73 yards. His fumble was returned for a touchdown.
Delhomme threw five interceptions and lost a fumble in Carolina's 33-13 playoff loss to Arizona in January. He received a five-year, $42.5 million contract extension in April that included $20 million in guaranteed money.