Halfway into the game the away team had a 4-0 lead but the Flyers came back and put two quick pucks and suddenly it was a game again.
But Anaheim woke up and in the third period scored three more goals in a game that eventually ended 7-4. Frank Vatrano was brilliant throughout the match and was noted for a hat-trick.
Swedish super talent Leo Carlsson, 18, was scoreless.
Anaheim has been on a road trip that ends with a game against the Pittsburgh Penguins on October 31.