Minotis was a distinguished Greek actor and director. He first appeared on stage in his native Crete as Chorus Leader and later as Messenger in Sophocles' Oedipus Tyrannus. From 1925 until 1930, he worked in close collaboration with the famous Greek actress Marika Kotopouli in her own theatre. During this period, he appeared in the great Shakespearan roles in The Merchant of Venice, King Lear, Macbeth and played the title role in Hamlet, the first time the play had been staged in Greece. Other roles in the classical repertoire were Ibsen's Ghosts and Peer Gynt. He expanded his talents by directing ancient Greek tragedies such as Hecuba, Antigone, The Phoenissae, Prometheus Bound, Oedipus at Colonus, as well as Sean O'Casey's Juno and the Paycock, Strindberg's The Father and Brecht`s Mother Courage.
In 1946, he went to Hollywood to appear in Alfred Hitchcock's Notorious with Cary Grant, Ingrid Bergman and Claude Rains. In the same year, he also appeared with Robert Cummings and Michèle Morgan in The Chase. His other films include Siren of Atlantis (1949) with Maria Montez, Boy on a Dolphin (1957) with Sophia Loren and Land of the Pharaohs (1955) with Joan Collins.
In 1955, he directed Katina Paxinou in Euripides' Hecuba for the National Theatre of Greece at The Ancient Theatre of Epidaurus and starred in Oedipus Rex as well as directing. In 1956, he made his first appearance in Oedipus at Colonus . The production received great acclaim and Minotis went on a long international tour with the company.
In 1958, Minotis directed Maria Callas in a production of Medea presented in Dallas. The production was then seen at Covent Garden, La Scala and Epidaurus. He also directed the Greek National Opera production of Norma with Callas in Epidaurus in 1961.