It was the first NHL shorthanded goal for each player.
"You don't really kill a major any differently than you kill a minor. You are just trying to survive being shorthanded and go from there," Suter said. "Getting through it and suddenly having a 3-0 lead was obviously huge for us."
Detroit hadn't scored a shorthanded goal since Darren Helm had one in a 4-1 loss at the Boston Bruins on Feb. 15, 2020, a span of 286 power plays.
"We didn't attack any more than we normally do, but we blocked shots and got sticks in the passing lanes," Blashill said. "That's how you create turnovers and shorthanded chances."
Suter and Bertuzzi each scored twice, and Alex Nedeljkovic made 24 saves for Detroit (16-15-3), which had lost six of its past eight games.
"This was a fun night," Suter said. "We had great energy in the building, and playing this well will give us a boost before we head out west tomorrow."
San Jose (17-16-1) played without captain Logan Couture, who went into COVID-19 protocol earlier in the day. James Reimer allowed four goals on 24 shots before being replaced by Adin Hill for the third period. Hill made five saves on seven shots.
"We're frustrated because we're competitors and we don't like losing," Reimer said. "We especially don't like losing big, but we have to let this sting a bit and then come back tomorrow and work on things."
Jasper Weatherby tipped in a Brent Burns shot to cut the lead to 3-1 at 4:03, but Suter made it 4-1 at 9:32.
Alexander Barabanov pulled San Jose within 4-2 at 1:40 of the third, but Dylan Larkin (3:51) and Robby Fabbri (5:01) scored 1:10 apart for the 6-2 final.
"[Larkin's] goal was a huge moment in the hockey game," Blashill said. "It was 4-2, and if they get another one, now we're having to grind out a one-goal game, but at 5-2 we knew we had a chance to put them away."