Zastudil missed the second half of last season after he was placed on injured reserve.
"He's worked hard at it and worked with his doctor and our doctor on many different things," Browns coach Eric Mangini told the team's website (www.clevelandbrowns.com). "It wasn't making any progress."
Reggie Hodges, who stepped in for Zastudil last season and averaged 39.8 yards per punt over 45 kicks, will take over the starting duties fro the Browns.
(Writing by Larry Fine, Editing by Frank Pingue)