The Oilers had a two-minute, two-man advantage after Jakub Voracek and Merzlikins were assessed separate penalties at 6:19 of the first period. Voracek was given a minor for playing without a helmet, and Merzlikins for tripping Kailer Yamamoto.
"We started fine, had some looks, and then it was a little bit of a brain cramp from 'Jake,' you can't play the puck when your helmet is off," Blue Jackets coach Brad Larsen said. "That put them on a 5-on-3. We were killing it fine too. They had no shots on goal and then miss it wide and pop it in, and that puts you behind the eight ball."
Puljujarvi scored at 7:24 to give the Oilers their first lead since Dec. 1 against the Pittsburgh Penguins. He scored off a shot that went wide by defenseman Tyson Barrie and caromed in front.
He made it 2-0 at 8:10, tapping in a centering pass from Ryan Nugent-Hopkins, for his second multigoal game of the season. Puljujarvi had a career-high eight shots on goal.
"I liked Jesse's game," Oilers assistant coach Glen Gulutzan said. "You guys are going to see the eight shots, and the two goals and assist tonight, but I thought early there were a couple things in his game that we wanted him to be direct and he just straightened himself right out and had a big game. I think he got better and better as the game went on."
Derek Ryan scored at 11:07 for a 3-0 lead, jamming in the puck after Merzlikins stopped a shot from Brendan Perlini in the slot. His last goal was Oct. 16 against his former team, the Calgary Flames.
"It is a huge confidence builder, not only for the bottom six [forwards], but for the top six as well," Ryan said. "I think my line, in particular, has [continued to build] a couple games here. Even though we haven't gotten wins in the previous games, I felt like we've started to come across some confidence."