Mitchell began his career as a model and worked, among others since 1985 with photographer Bruce Weber in several campaigns for Calvin Klein. After guest appearances in series such as St. Elsewhere and Pleasures Sasha Mitchell first came in 1989 with the role of James Richard Beaumont in the series Dallas to greater awareness. Two years later, after the end of the series, he took a supporting role in the popular sitcom A strong family, in which he again played a nephew of Patrick Duffy. In addition, Mitchell played in various martial arts films.
1996 accused his wife of the exercise of domestic violence. Mitchell was consequently forced to leave the sitcom produced by Disney and lasted until 2000 in the film business. He went public to talk about the accusations of his wife. His wife is mentally unstable, and Mitchell was in court the sole custody of the four children. The children may see Mitchell's wife under supervision.
Between 2002 and 2005, Mitchell completed a few appearances in the television series ER, JAG and NYPD Blue.