The Hurricanes outshot the Flyers 36-31, but Antero Niittymaki was solid for Philadelphia, which played overtime for the fourth time in five games.
The Flyers took a 1-0 lead less than four minutes in on Mike Richards' 11th goal.
Sergei Samsonov tied it with 19:05 remaining in regulation, but the Hurricanes dropped their fifth straight and second consecutive since Paul Maurice replaced fired coach Peter Laviolette on Wednesday.
