Bryzgalov made 29 saves for his NHL-leading eighth shutout, and Lee Stempniak and Martin Hanzel each scored twice to help the Coyotes -- who will play 10 of their final 14 games on the road -- beat the Carolina Hurricanes 4-0 on Saturday.
"Just a solid road game," Phoenix coach Dave Tippett said. "[Bryzgalov] cleaned up the few chances that we gave up, but other than that we had a real good group effort."
Stempniak has four goals in his last two games and five since joining the Coyotes in a trade with Toronto. Adrian Aucoin had two assists.
Phoenix won its fourth straight and snapped the Hurricanes' home winning streak at eight. Justin Peters made 16 saves for Carolina, 13-4-1 in its last 18 games.
"They made the most of the few chances they had and we didn't on ours, and that was the end of it," Carolina coach Paul Maurice said.
After scoring twice in regulation and adding another in a shootout in the Coyotes' 4-3 win over Vancouver on Wednesday night, Stempniak opened the scoring against the Hurricanes. Phoenix's aggressive forecheck gave Stempniak the puck to Peters' right, and Stempniak quickly shoveled it into the net before Peters could slide over.
"[Stempniak's] fit in very well with our team," Tippett said. "He's a hard-working guy. He likes to play the style that we play and is getting rewarded around the net with some real good puck play. He's been a very positive player for us."
Stempniak struck again late in the period. With Carolina's Jerome Samson in the penalty box for high-sticking, Stempniak wristed the puck past Peters' glove. Taylor Pyatt provided an effective screen on the play.
"I've developed some good chemistry with my linemates with Fiddler and Pyatt," Stempniak said. "We all play similar games based on working hard and skating well and getting in on the forecheck."
Hanzal made it 3-0 at 13:50 of the second when the puck deflected off the stick of Carolina defenseman Alexandre Picard and high into the air. When it came down in the slot, Hanzal corralled it and snapped it past Peters' blocker.
Hanzal finished the scoring with a one-timer on the rush in the third.
Carolina outshot the Coyotes 29-20 but couldn't get the puck past Bryzgalov.
"He was good and made saves," Maurice said. "He had a bunch that he just made a lot easier than they were. He didn't give any back."
"Tonight we played very well," Bryzgalov said. "This is kind of Coyotes road-game hockey."
- Carolina forward Brandon Sutter missed the game because of a lower-body injury.
- Phoenix has killed off 24 of its last 25 penalties.