Wright previously played rugby league as a five-eighth for the Manly Warringah Sea Eagles in the NRL.

His junior rugby union was played with the Clovelly Eagles and then at high school while attending St Joseph's College, Hunters Hill.

[citation needed][2] Wright made his NRL debut in Round 10, 2018 for Manly Sea Eagles against the Brisbane Broncos.

[4] He would go on to make his starting debut for the Wallabies against the All Blacks in November 2020, scoring in the 24-22 win at Suncorp Stadium.

[5] In November 2024, Wright scored a hattrick and won player of the match as Australia beat Wales 52-20 in the 2024 Autumn Nations Series.