The news comes shortly after the Predators announced that they were not going to re-sign forward Alexander Radulov, whose rights could be traded for draft pick or a young player.
Kostitsyn was in hot water during the playoffs, as he and Radulov were suspended for one game for missing curfew during the semi-finals against the Phoenix Coyotes.
After being traded to the Predators from the Montreal Canadiens, Kostitsyn collected four goals and assists for 12 points in 19 regular-season games.
