During the 2019–20 season, on February 16, 2020, Greene was traded to the New York Islanders in exchange for  and a 2021 second-round pick.
On February 16, 2020, during the 2019–20 season, Greene was traded to the New York Islanders. In this transaction, he was given and a 2021 second-round pick in exchange for something unspecified.