Norris competed at the 2017 IIHF World U18 Championships where he helped Team USA win a gold medal. The following year, Norris was named to Team USA to compete at the 2018 World Junior Ice Hockey Championships. He played in all seven games on the way to a bronze medal. Following Team USA's 4–2 defeat to Team Sweden in the semifinals, Norris was named U.S. Player of the Game.