Gallagher said, "I've been joking around, it's tough to score from there. A big second period for us. It's not easy to win in this building."
Canadiens coach Claude Julien said the goal had a positive impact on Montreal.
"I can't speak about the other team. All I know is it was a good start for us, six seconds in," Julien said. "We get the lead, and it just kind of gave us that kind of excitement of playing with the lead again. Those things happen. Happens to every team, and at the end of the day, if that happens to my team, I want them to bounce back and not let that affect them. It was nice to get that quick lead."
Drouin's power-play goal made it 3-1 at 3:39, giving him eight points (three goals, five assists) in his past eight games. Suzuki made it 4-1 at 11:33.