Parzaan is an alumnus of St. Mary's (ICSE), Mumbai and H.R College of Commerce and Economics.
He belongs to a Mumbai-based Parsi family and lives with his parents and younger brother.
He played Parzan in Rahul Dholakia's Parzania (2005), about a boy who goes missing during the Gujarat riots.
Parzaan played the male lead in Piyush Jha's Sikandar (2009), as a boy who aspires to be a footballer, but finds a gun, which turns his world upside down.
Parzaan wrote the film which stars famous actress Madhoo in a pivotal role.