Handzus also assisted on rookie Radovan Somik's second goal of the season that tied the score, 1-1, at 7:46 of the first period.It came 15 seconds after rookie Henrik Zetterberg gave the Red Wings the lead with his eighth goal.
Jeremy Roenick snapped the tie with 1:52 left in the first.
Roman Cechmanek stopped 13-of-14 shots over the first two periods and improved to 15-9-5.
Cechmanek allowed Brett Hull's goal 62 seconds into the third period but made a glove save on a bouncing wrist shot by the right winger with 45.9 seconds remaining to preserve the win.
The Flyers also won six in a row from Oct. 24-Nov. 5.