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.
Very happy that old guy finally scored. It was great. You see the excitement on his face. I remember when I scored my first goal and it's just such a great feeling. Anytime you can help contribute to a team win it's a lot of fun.
— Boston defenseman Torey Krug on 26-year-old teammate Kevan Miller, whose first NHL goal helped the Bruins top the Maple Leafs