Inglis made his international team debut in 2009. At the 2012 Summer Olympics, he competed for the national team in the men's tournament. At the 2014 Commonwealth Games, he was one of the New Zealand players who scored in the penalty shoot-out to decide the bronze medal, but New Zealand still lost the match to England. He is one of three players from Dunedin to attend the 2016 Summer Olympics in Rio de Janeiro, where the men's team came seventh. In 2018, Inglis was part of the New Zealand team who won silver at the Commonwealth Games.