The forward sustained "bumps and bruises" in a 7-4 loss to the Pittsburgh Penguins on Saturday, coach Bruce Boudreau said. He did not travel with the Wild to Ottawa for the start of their three-game road trip this week.
Zuccarello, who agreed to a five-year, $30 million contract as a free agent July 1, has no points in four games. He had 40 points (12 goals, 28 assists) in 48 games with the Dallas Stars and New York Rangers last season.
He will be out against the Toronto Maple Leafs on Wednesday and the Montreal Canadiens on Thursday.
Following the road trip, the Wild (1-4-0) return home to play the Canadiens on Sunday.