Robert Schwartzman is the nephew of Francis Ford Coppola, cousin of Nicolas Cage, Sofia Coppola, Roman Coppola and Christopher Coppola, and grandson of Italia Coppola (née Pennino) and Carmine Coppola (the source of his old stage name) and his niece, Gia Coppola. His brother is Jason Schwartzman, lead singer of the band Coconut Records (also an actor and former drummer of the band Phantom Planet) and his half-siblings are Stephanie Schwartzman and cinematographer John Schwartzman. Schwartzman is of Jewish descent on his father's side and of Catholic Italian descent on his mother's side. Schwartzman attended Windward School in Los Angeles, California and
Anton Coppola honored with the Lifetime Achievement Award from the Puccini Foundation and recognized by the Italian government as "Cavaliere, Gran Ufficiale". Coppola collaborated with the Orchestra Sinfonica di Milano Giuseppe Verdi, also known as Orchestra Verdi, and operatic soprano Angela Gheorghiu on a recording of Puccini works for EMI. This recording was later re-released with additional tracks recorded by Pappano and the Royal Opera House Orchestra, Covent Garden. In 2008, Opera Tampa announced that an award was to be established in his name. The Anton Coppola Excellence in the Arts Award is presented annually to recognize an artist for significant contributions