On 22 December 2014, Nam was named in South Korea's squad for the 2015 AFC Asian Cup held in Australia. In the team's second group match, Nam scored the only goal as Korea defeated Kuwait 1–0 to ensure qualification to the knockout stage. On 20 November 2018, it was announced that Nam would miss the 2019 AFC Asian Cup in the UAE after being ruled out for six months because of a knee injury.
