Archibald, who also had an assist, returned from a two-game suspension for an illegal hit on Nashville Predators forward Ryan Hartman on Nov. 15. He scored twice in a three-goal third period, including at 8:39 to give Arizona a 4-3 lead.
"We know what we're capable of," Archibald said. "And just for us to go out there and actually do it, it's a good feeling for us moving forward."
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Lawson Crouse had a goal and an assist, and Michael Grabner also scored for the Coyotes (10-11-2), who were 0-3-1 in their previous four games. Antti Raanta made 17 saves but left after the second period with a lower-body injury. He was replaced by Adin Hill, who made the save on all five shots he faced in relief.
"The first two periods, you guys saw it, it wasn't good," Arizona coach Rick Tocchet said. "We were slapping the puck around. … We started to buckle down in the third, short shifts, made some plays. Obviously, [Archibald, Crouse and Nick Cousins] I thought were fabulous tonight for us, even when we weren't playing well. The first two [periods], they were our best line. And then we got some momentum and played the right way."