Terry has represented the United States at both the junior and senior levels of international play. His first international tournament for Team USA was during the 2014 Hlinka Gretzky Cup. The following year, Terry helped Team USA compete for a gold medal at the 2015 IIHF World U18 Championships after scoring the game-winning goal to eliminate Russia in the tournament. This was the first time Team USA had won against Russia in the medal round of the World Junior championship. He again helped lead Team USA to a gold medal during the 2017 World Junior Ice Hockey Championships after scoring the game-winning goal against Team Canada.