GLENDALE, Ariz. -- Henrik Zetterberg believes he benefited by being in the right place at the right time.
Zetterberg's goals all came on power plays as the 26-year-old reached 30 goals for the second straight season and helped the Red Wings sweep the four-game season series with the Coyotes.
Zetterberg also had an assist on Jason Williams' empty-netter in the final minute.
"I don't think I played a great game," Zetterberg said. "The puck just bounced my way. I really can't remember how I scored the first goal and the second one did cross the goal line. I know the referee looked at that one."
Detroit moved into first place in the Western Conference, one point ahead of Nashville in the Central Division, and trails East-leading Buffalo by one point for the overall lead in the NHL.
Zetterberg's second goal, which was under review, came when he knocked in a goal-mouth scramble and began to raise his stick to celebrate. However, referee Brad Watson immediately waived off the apparent goal and play continued. At the next stoppage of play, Watson conferred with Ian Walsh, the second referee on the ice, and after a lengthy review, Zetterberg was credited with the goal at 18:01.
"When you spend time in the other team's end, you get more opportunities," Red Wings coach Mike Babcock said. "We had chances and made them count."
Mike Zigomanis got the Coyotes, 0-4-1 in ther last five games, on the board 25 seconds into the third.
The Coyotes current slump does not sit well with coach Wayne Gretzky. The Hall-of-Famer was clearly upset with the effort and character of his team's performance.
"Other than a few guys, we didn't play hard the first two periods," he said. "Gordie Howe in a Red Wings uniform at age 72 years old might have made a goal in the first two periods. No one gave that effort, other than our goaltender (Mikael Tellqvist) and a few guys."
The Coyotes lack of effort was also noticed by one of the leaders.
"We put ourselves so far behind that it's discouraging," Phoenix captain Shane Doan said. "We had an opportunity to come out and play solid for 60 minutes, and see what could happen. But, we did not. We dropped the ball with the missed opportunities."
Zetterberg scored twice in the second period and completed the hat trick on a slap shot at 15:36 of the third.
The Red Wings broke a scoreless tie midway through the second. With the Coyotes' Derrick Morris off for hooking, Zetterberg took a behind-the-back pass from Mathieu Schneider and drilled a slap shot in at 10:30 while Tomas Holmstrom was screening goalie Tellqvist in front.
Zigomanis then tipped in Morris' shot from the right point to pull the Coyotes to 2-1 early in the third.
Williams capped the scoring with 11 seconds left.
The Red Wings had better chances during a scoreless first period. Their best opportunity came when Hasek was pulled on a delayed penalty. With an extra attacker, Johan Franzen took a shot from the left circle, but the puck deflected off the left post and slid to the left corner.
Holmstrom, who had three goals and an assist in his last game in Phoenix, had no points this time. ... The Coyotes, winners of just two of their last 10 (2-7-1), were coming off a 5-4 overtime loss to Anaheim on Thursday night. ... Zetterberg's three goals came on six shots ... With the four assists, Datsyuk reached 300 points in his fifth NHL season.