[6][7] At the time of his selections as co-chief critic, Green was noted to disagreed on his colleague Ben Brantley in multiple reviews, including of a revival of The Glass Menagerie.
[9] In 2018, Green was favorably cited as being respectful of trans and non-binary identities following a controversial review of Head over Heels by co-chief critic Brantley.
[10] The Brantley review drew significant criticism—and was later corrected—for dismissing the gender identity of Ru-Paul's Drag Race contestant Peppermint, who became the first out trans woman to originate a lead role on Broadway.
[14] In 2022, the producers of the musical KPOP wrote an open letter to Green and the Times, accusing his negative review of the Broadway production of representing an "implicit assertion of traditional white cultural supremacy.
"[15] The major points of contention were Green's negative view of the musical's emphasis on electronica in the score and his use of the phrase "squint-inducing" to describe the lighting design.