Vichorek was drafted by the Philadelphia Flyers from the Sioux City Musketeers of the United States Hockey League.
In 1986, following his college career, the unsigned defenseman was offered and signed a professional contract by the Hartford Whalers and assigned to play in the AHL with the Binghamton Whalers and later assigned to the Salt Lake Golden Eagles where he was part of the Turner Cup Championship team in 1987–1988.
Mark also played in a Calder Cup championship with the New Haven Nighthawks, in the 1988–1989, season where they lost to the Adirondack Redwings in six games, that included players Barry Melrose and Robbie Nichols.
Upon retiring, Vichorek began his coaching career at the minor professional level of the defunct American Hockey Association.
Vichorek returned home to his hometown of Moose Lake to coach his former high school team for six seasons.