Bryzgalov won for the fourth time in five starts.
Evgeny Dadonov and Tomas Fleischmann scored for Florida and Jose Theodore stopped 32 shots. The Panthers were held without a point for the first time in seven games.
Read scored on a penalty shot to give the Flyers a 3-1 lead. Read was awarded the shot after he was tripped by Jason Garrison. Read's shot trickled through Theodore's pads at 4:14 of the third.
Fleischmann's goal with 8 seconds left made it 3-2. Fleischmann has 12 points in his last 10 games.
The Panthers closed to 2-1 on Dadonov's goal at 10:20 of the second. Dadonov, recalled from San Antonio of the American Hockey League on Saturday, took the puck near the blue line in the Flyers' zone. He brought it down and took a wrist shot from low in the left circle that beat Bryzgalov on the stick side.
The Flyers opened the scoring on Briere's goal with 3:50 left in the first. James Van Riemsdyk took a shot that bounced off the right post. Briere got the rebound and lifted it high into the net.
Philadelphia made it 2-0 in the second. Maxime Talbot passed to Jakub Voracek in the right circle, and Voracek passed it to Coburn near the crease. He redirected the puck past Theodore at 6:10.
NOTES: The Flyers have played only two games over the last eight days. ... Flyers RW Wayne Simmonds got his 100th NHL point with an assist on Briere's goal. ... Florida D Erik Gudbranson, the Panthers first-round pick in 2010, played Sunday after being a healthy scratch the past four games.