Zucker played in the 2010 World Juniors for Team USA, winning a gold medal. He was also a member of Team USA's bronze medal-winning team at the 2011 World Juniors. Playing for the University of Denver in 2010–11, he was the Western Collegiate Hockey Association Rookie of the Year. He was drafted in the second round (59th overall) of the 2010 NHL Entry Draft by the Minnesota Wild.