On 12 November 2019, the Hurricanes announced their squad for the 2020 Super Rugby season, which for the first time included Pouri Rakete-Stones.
[12] Despite not being part of the group of players invited to attend the New Zealand Under-20 development camps that year, Rakete-Stones was named in the squad for the 2016 Oceania Rugby Under 20 Championship.
[18] In 2019, Rakete-Stones - who is of Ngāpuhi descent - was called into the Māori All Blacks squad for the two-test series against Fiji as an injury replacement for Ben May.
[20] On 5 December 2020, Rakete-Stones earned his first start for the Māori All Blacks - replacing injured Marcel Renata - in a one-off match against Moana Pasifika in Hamilton.
[21] On 26 October 2022, after an outstanding NPC season playing for Hawke's Bay, Rakete-Stones was called into the All Blacks XV squad that was named earlier that month for two matches against Ireland A and the Barbarians during their Northern Tour.