Jimmy Howard allowed one goal and made 42 saves for Detroit but lost his 18th straight decision (0-16-2). The Red Wings (13-39-4), who defeated the Buffalo Sabres 4-3 on Thursday for their first win in 10 games, are 4-17-1 in their past 22 games.
"They're a strong forechecking team, a big team that skates well," Red Wings forward Justin Abdelkader said. "Their [defensemen] can really skate up the ice. ... We had [two] power plays, but nothing was going in. It was one of those grind 'em out games, especially on a back-to-back."
The Blue Jackets (30-16-9) are 9-0-1 in their past 10 games and 19-2-5 in their past 26.
"We're really confident in ourselves right now, and that has to be the case," Columbus captain Nick Foligno said. "It has to be a momentum builder for us."
Merzlikins, who has won eight starts in a row, made 32 saves in a 1-0 overtime win against the Florida Panthers on Tuesday. His winning streak is a record for a Blue Jackets rookie.
Zack Werenski scored on a delayed penalty for a 1-0 lead at 4:57 of the second period. His 17th goal of the season broke the Blue Jackets record for a defenseman he and Seth Jones accomplished two seasons ago.