Mete was swarmed by his teammates after he made it 1-0 at 14:37 when he scored from the slot.
"Obviously everybody's wanted me to score for quite a while," Mete said. "And also to see everyone kind of get as excited as they did, that's pretty special. It means a lot."
It was his first goal in 127 games, the most by a Canadiens player for their first NHL goal.
"He certainly was due," Price said. "He's had a few opportunities and we're all very happy for him."
Montreal went up 2-0 when Armia scored his fourth goal at 17:32.
Suzuki scored in his seventh NHL game to make it 3-0 at 19:23, five seconds after the Canadiens' third power play of the period ended.
"You're digging yourself a grave when you're not scoring very much," Boudreau said.
Mete and Suzuki are the 12th pair of Canadiens to each score their first NHL goal in the same game. The feat was last accomplished by Chris Higgins and Alexander Perezhogin in a 4-3 overtime win at the New York Rangers on Oct. 6, 2005.
"I think everyone in here is ecstatic for [Mete]," Canadiens defenseman Shea Weber said. "I mean, [Nick Suzuki] too, he's obviously excited to score his first goal, a nice one on the back door there. They're a couple of guys that are hopefully going to get a lot more for us here and help us down the season stretch."
Wild forward Joel Eriksson Ek blocked three straight shots by Weber while killing a penalty in the second period.
"He's a brave fellow, I'll give him that," Price said.
Eriksson Ek went to the dressing room briefly before returning for one more shift. He did not play in the third period, and had a walking boot on after the game.
"My job is to get the puck to the net so if they're going to block it, I'm sure they're going to feel it," Weber said. "I know a lot of guys have blocked shots and they know what it feels like, and I can't imagine those felt any good."