GLENDALE, Ariz. -- Detroit coach Mike Babcock would love Kirk Maltby to score more.
"Kirk Maltby can really shoot but he chooses not to most of the time," Babcock said.
Maltby broke a 2-2 tie with 25.5 seconds left in the second when he one-timed a pass from Zettenberg from the right faceoff circle over Mikael Tellqvist's extended glove.
Maltby also had scored at 11:26 of the second period, redirecting Chris Chelios' blast from the right point past Tellqvist to tie the game 2-2.
"Whoever I'm playing with usually gets on me to shoot more," Maltby said. "It's part of playing safe and making the safe play. It's something you've got be conscious of but it's all part of going out there and playing with confidence."
Jiri Hudler and Brett Lebda also scored for the Red Wings, who have won three of their last four. Chris Chelios added a pair of assists.
"We have great depth on this team and tonight we proved that, rolling four lines and having a lot of guys score," Zetterberg said
Only a loss in Anaheim marred an otherwise perfect trip.
"People don't understand what a fine line it is between swimming and drowning in this league," Babcock said.
Zetterberg leads the NHL with 17 points and has at least one point in each of Detroit's first nine games, a career-best scoring streak.
Steven Reinprecht and Derek Morris scored for the Coyotes, who lost all three games of their abbreviated homestand. Phoenix has lost five of six since opening the season with a 3-2 home win over St. Louis.
"They outskated us on the ice, their top guys played at will and we seemed to be overwhelmed," said Coyotes coach Wayne Gretzky.
Detroit made it 4-2 with 15:03 to go when Tellqvist went behind the net to leave the puck for defenseman Ed Jovanovski. Matt Ellis beat Jovanovski to the puck and passed it out front to Lebda for the shot into the vacated net.
Zetterberg made it 5-2 with 5:22 remaining on a rebound of a shot by Tomas Holmstrom.
Hudler gave the Red Wings a 1-0 lead 4:37 into the game, tapping a rebound into the net from the left edge of the crease as two other Detroit players crashed the net.
The Coyotes evened the score when Peter Mueller stole the puck from Pavel Datsyuk just outside the Red Wings zone and hit Reinprecht in stride between the circles for the goal at 12:45 of the first period.
"It's not our young guys," said Coyotes captain Shane Doan, who remained without a goal for the season. "Our young guys are playing great. They are doing everything we could ask of them. Everything and then some. It has nothing to do with the young guys why we've lost three in a row. It's the older guys in the dressing room. the younger guys are playing great."
Morris made it 2-1 at 17:15 of the period on a blast from the high slot.
The Red Wings have won five straight in Phoenix dating back to January 24, 2004. ... Zetterberg has 12 goals and 11 assists in 17 career games against the Coyotes. ... The Red Wings have scored three or more goals in all but one game this season. ... Zetterberg lost an apparent goal midway through the first when Holmstrom was whistled for goaltender interference. "What can you do," Holstrom said. "One foot in shouldn't be a big difference. You get hit around the net and it's tough to know where you are."