Suter was named to 2005 World Junior All-Star team after tallying eight points in seven games (1-7-8), second on the U.S. team only to Drew Stafford who had nine points. He won gold at the 2004 World Junior Championships and the 2002 Under-18 World Championships.
His father, Bob, is an Olympic gold-medalist having played at the 1980 games in Lake Placid. His uncle, Gary, played on the 2002 U.S. Olympic team and competed in 1,145 National Hockey League games with Calgary, Chicago and San Jose.
Suter has played in 58 international games with Team USA and 121 games with USA Hockey's Team National Development club. He was also honored with the Bob Johnson Award at the 2003 USA Hockey Annual Congress for excellence in international hockey during a specific season of play.