Green was named in the 24-man squad selected to represent the Australian national team in FIBA World Cup Qualifiers against Qatar and Kazakhstan in September 2018. However, a torn labrum in his right shoulder prevented him from making his international debut. In January 2019, Green revealed his ambitions to represent Australia at the 2020 Tokyo Olympics. On 6 February 2019, Green was named in the 23-man squad selected to represent Australia's Under-19 national team at the 2019 FIBA Under-19 Basketball World Cup. In March 2019, Green signalled his aspiration to represent Australia at the 2019 FIBA World Cup. Green made his senior debut for Australia in the first round of the 2020 Olympics against Nigeria.