Zucker, a restricted free agent, had an arbitration hearing scheduled for July 28.
"I'm excited for what I feel is an elevated role and what I feel is a bigger role on the team," the 26-year-old forward said. "I'm not satisfied with what I did last year. I am excited to keep working this summer and get back at it."
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Zucker had NHL career highs in goals (33), assists (31) and points (64) in 82 games with the Wild last season. He was scoreless in five Stanley Cup Playoff games.
"When we look at the League now, we look at the speed that has started to dominate our game," Minnesota general manager Paul Fenton said. "He generates so many chances based off of his speed and his skill level. It's really hard to find natural goal-scorers, and he's had a history of being able to score goals. For us, that was [the] most important ingredient that we were looking to solidified here, and that's why it made sense for us to sign him to a long-term deal."
Minnesota selected Zucker in the second round (No. 59) of the 2010 NHL Draft. He has 172 points (97 goals, 75 assists) in 330 NHL games and has increased his goals, assists and points in each of the past two seasons. He has eight points (four goals, four assists) in 31 playoff games.
"The more I continue to work on that and get better at that, the better off I am going to be and the more I am going to be able to produce at a more consistent level," Zucker said. "... I know that I have the talent, the ability and the skill, the grit and all of that stuff to play in this league at a high level, it's just whether it's consistently every night."