He was one of the lesser-known members of the French New Wave movement and has collaborated with Jean-Luc Godard.

He attended the Institut des hautes études cinématographiques (IDHEC) and began his career in television.

[3] It was particularly embraced by Cahiers du Cinéma and influenced the New Wave filmmakers who emerged from the magazine's staff.

[3] While Rozier's films were acclaimed by critics and filmmakers, and he worked into his seventies, he never became as famous as some of the other New Wave directors.

[3] In 2019, Jean-Luc Godard said that he and Rozier were the last two New Wave filmmakers alive, following the death of Agnès Varda.