Greiss made 36 saves and Rob Klinkhammer opened the scoring for Phoenix at 2:41 of the first.
Max Talbot scored the lone goal for the punchless Flyers, who have only six goals this season and dropped to 1-4. Coach Craig Berube lost his first game after leading the Flyers to a win in his debut. The Flyers' 2-1 win over Florida on Tuesday was their only multiple-goal game this season.
The Coyotes have won two straight games on the road after dropping two straight by a combined 10-2 score.
There's no discouragement in that room. There's no issues there at all to be honest with you. It's more about, 'Hey, it's opportunities for players.' And if we become that bad of a team because of one player, it's not a real good sign for our hockey club. So this is part of sports. It's part of hockey.
— Bruins coach Claude Julien on the loss of Zdeno Chara to injury