[4] In June 2019, he was selected to play for the Toronto Nationals franchise team in the 2019 Global T20 Canada tournament.
[5] In the 2020 IPL auction, he was bought by the Kolkata Knight Riders ahead of the 2020 Indian Premier League.
[7] In July 2020, Green was named as the captain of the Guyana Amazon Warriors side ahead of the 2020 Caribbean Premier League.
[11] In November 2023, Green was named the captain of Sydney Thunder for the 2023–24 Big Bash League.
[12] Green was signed by Lancashire Lightning for the 2024 T20 Blast competition[13][14] and later agreed a further two-year contract for the 2025 and 2026 editions.