Cocazza joins from Woman's Journal where she was fashion and style director.
She was previously fashion and beauty director on She Australia.
Catherine Turner, former editor of Marie Claire Health and Beauty and health and beauty director on Company, joins as beauty director, replacing Amanda Cochrane.
Finally, Lesley Thomas joins as contributing editor.
These latest appointments come just one week after Dina Coulla was appointed as the magazine's creative director and five months before its scheduled relaunch.
Jane Bruton remains as Eve's editor.