The 26-year-old had 33 goals and 31 assists in 82 games while leading the team with seven game-winning goals and 54 takeaways last season, all career highs. Zucker will carry a $5.5 million annual salary cap hit through the 2022-23 season.
The deal with Zucker, a restricted free agent, was done Wednesday. The Wild signed defenseman Matt Dumba, who was also a restricted free agent, to a five-year, $30 million contract last week.
It has otherwise been a relatively quiet offseason under new general manager Paul Fenton, whose biggest free agent signings were defenseman Greg Pateryn and forwards J.T. Brown, Eric Fehr and Matt Hendricks.