The Ducks opened their season with a 5-2 win at the San Jose Sharks on Wednesday, when they were outshot 33-15 but Gibson made 31 saves. They have been outshot 74-35 in two games.
"Maybe we had a slow start in the first, but I thought as the game went longer, we got stronger and we found a way," said Gibson, who has 17 NHL shutouts. "If you watch us enough, we usually don't do it the easy way. ... (But) I'm trying to be the best I can be every night."
WATCH: [All Ducks vs. Coyotes highlights]
Gibson made his two most important saves with Arizona on a 5-on-3 power play for 59 seconds in the final minute and goalie Antti Raanta pulled for the extra attacker.
"You don't see too many 6-on-3s but had a couple of good bounces, kept the pressure on it, and [Gibson] obviously making a couple of big saves was key for us," Ducks forward Adam Henrique said. "We had to find a way there at the end."
Coyotes coach Rick Tocchet wasn't happy with the missed opportunity, saying, "Unfortunately, we've got to score in that position."
"That's why it's so important to work on your game, work on your shots, your reps and second and third effort," Tocchet said. "It's a hard league to score in, and I thought we left some opportunities to shoot the puck out there. We got too antsy on the 5-on-3, instead of sticking to what we do in practice."
Comtois scored in the final minute of the second period against the Coyotes after scoring in the first minute of his first NHL game against the Sharks.
With the Ducks on the counterattack, Comtois took Cam Fowler's pass, broke in from the blue line, and put the puck between Raanta's pads with 32 seconds left to make it 1-0.
