 Mitchell's greatest success in singles came at the Black and Decker Championships, in Melbourne, Australia in 1984, where he beat Eliot Teltscher who was eighth in the world, and Pat Cash who was tenth in the world to win the tournament.That single event catapulted Mitchell's ranking from 164 in the world to 63.Mitchell's greatest success as a professional came as a doubles player, winning seven tournaments in doubles between 1980 and 1985.