He played college football for the Ohio Bobcats, and was selected in the fourth round of the 2002 NFL draft by the Baltimore Ravens.

Dave graduated from Bay High School and attended Ohio University, where he led the Bobcats and the Mid-American Conference in punting for four straight years.

[1] As a sophomore, he was the MAC special teams player of the year and the first-team All-MAC punter after leading the conference in punting.

[5] In his only postseason appearance of his professional career, Zastudil had eight punts for a 48.75 average in a 20–17 loss to the Tennessee Titans in the Wild Card Round.

[6] On March 12, 2006, Zastudil was signed by the Cleveland Browns to the terms of a five-year contract,[7] replacing journeyman punter Kyle Richardson.

The knee did not recover as well as expected after surgery, and Zastudil was placed on injured reserve again for the 2010 season on August 17, 2010.

[15][16] In addition, he had 46 punts land inside the 20-yard line, breaking the NFL single-season record, which was originally shared by three others.