GLENDALE, Ariz. (AP) -- The New York Rangers were glad to get into overtime after falling behind Phoenix in the third period. Then they just wanted to get off the ice quickly.
Tom Poti took care of that.
The defenseman netted his second winning goal in five games to lift the Rangers to a 3-2 victory over the Coyotes on Monday night.
"We only had to score this one to get the game over with so we didn't have to spend any more energy," said Poti, who scored the last Rangers goal in a 4-3 win over the rival Islanders on Dec. 18. "We've got a game (at Los Angeles) tomorrow night."
He scored 1:00 into overtime to cap a two-goal surge in less than 21/2 minutes, and keep Phoenix winless in its new arena.
Bobby Holik and Mark Messier had the Rangers' other goals.
Messier and Eric Lindros had two assists each, helping the Rangers to their first win in Arizona since Nov. 26, 1996, the Coyotes' first season after leaving Winnipeg. The Rangers, who didn't visit last season, were 0-3-2 since then.
"We needed this," coach Glen Sather said. "It was a big win for us."
Messier started the comeback when he took the puck away from Ladislav Nagy along the boards and moved it to Martin Rucinsky for a centering pass to Poti, who beat Phoenix's Sean Burke with a wrist shot.
Holik tied it at 2 when he slipped a pass from Lindros through the legs of defenseman Cale Hulse and Burke with 1:22 left in regulation.
The Rangers had a six-on-four power play because they pulled goaltender Mike Dunham with 2:07 to go after three Coyotes and two Rangers were penalized for a shoving match.
"We did a pretty good job up until the game was on the line," Phoenix coach Bob Francis said. "Hockey 101, two minutes to go, we should know better than to drop the gloves."
Earlier in the third period, New York killed a five-minute power play incurred when Boris Mironov drew a game misconduct for kneeing Nagy.
The Coyotes, who put only 24 shots on Dunham, took just one during the extended advantage.
"It was just an ugly game," Messier said. "You know, we could have had three or four early, and then not much seemed to happen after that. But we've played a lot of good games this year and never got anything out of it, so maybe it's good fortune for us where we didn't play our best game and got two points."
Jan Hrdina and Daniel Cleary had the Phoenix goals.
But Cleary also got a 10-minute misconduct for scuffling with Petr Nedved to set up Holik's power-play goal.
"With two minutes to go, emotions got the better of us," Cleary said. "We gave them the win, basically."
Cleary broke a 1-1 tie with his first goal of the season, scoring 6:28 into the third -- 1:16 after Messier got his team-high 12th.
That stirred 18,217 fans into a frenzy before Holik silenced them.
It was the second standing-room-only crowd in the $220 million Glendale Arena that opened Saturday with Phoenix's 3-1 loss to Nashville. The building has 17,799 seats.
The Coyotes began a power play with 32 seconds left in the first period and scored with two seconds to go.
Hrdina got the puck from Nagy on the right wing, stick-handled his way to the edge of the circle and tapped a backhander past Dunham.
Among his 28 saves, Burke had a spectacular stop on Petr Nedved's short-handed breakaway late in the second period.
But he couldn't handle Messier's one-timer of an airborne puck which Lindros tapped his way off the rebound of a wrist shot by Mironov 5:12 in.