"We only played 10 to 15 minutes of the kind of hockey we need to play to win, but our goalie gave us a chance," Carlyle said.
After Anaheim eliminated the Red Wings in six games and beat the Ottawa Senators in five for the franchise's first Stanley Cup, the Ducks signed two players away from Detroit in July with two-year deals: Bertuzzi and sharp-shooting defenseman Mathieu Schneider.
Bertuzzi showed Detroit, which only wanted to give him a one-year contract, that he still can produce after being limited by a back injury last season. The 6-foot-3, 231-pound forward scored from the slot and assisted on Ryan Getzlaf's goal.
"He's going to be a huge factor, being healthy and playing a physical game," teammate Corey Perry said.
The Ducks will have to wait a couple of weeks for Schneider to contribute because he's out with an ankle injury.
Giguere is day to day after having hernia surgery.
"He's starting to take shots now, but we really don't have a timetable," Carlyle said.
Both goaltenders started strong in the shootout, turning away the first two shots they faced.
Hudler, who is being asked to play a larger role, took advantage of being picked to participate in the shootout by scoring on Detroit's third attempt.
"It's always a little bit of pressure," he said. "I'm glad it went in."
Hasek then sealed the victory by stopping Perry.
The Ducks were without some of their key players because of injuries, but are also missing defenseman Scott Niedermayer and forward Teemu Selanne because both are deciding whether they want to play or retire.