He played parts of two seasons for the Chicago White Sox of Major League Baseball (MLB).

[3] While Bocek was a student at the University of Wisconsin–Madison, he became a fairly prominent summer amateur and semipro player in baseball and softball.

[2] Chicago White Sox manager Lew Fonseca noticed him and arranged a tryout at Comiskey Park, during which Bocek hit several balls into the upper deck.

Subsequently, he played several years in the minor league systems of the St. Louis Cardinals and the New York Yankees.

After the end of Bocek's playing career, he worked as a draftsman for Danly Machine Company and later at a family owned business, also serving in the United States Army during World War II.