Lindgren represents the United States in international play. He began his international hockey career as the United States captain at the 2015 World U-17 Hockey Challenge, where he recorded one assist in 6 games as his team lost in. He captained America's team in the 2016 IIHF World U18 Championships, scoring 2 goals and adding 3 assists in 7 games, helping his team to third place. He was also on the United States gold-winning in the 2017 World Junior Championship, getting 1 assist in 7 games. Most recently, he was an alternate captain of the bronze-winning United States' team in the 2018 World Junior Championship, getting an assist in 7 games.