The Wild acquired Brodziak from the Edmonton Oilers in a trade on draft night. An arbitration hearing was scheduled for July 30.
The signing leaves goaltender Josh Harding as the remaining arbitration-eligible player on the team. His hearing is scheduled for July 29.
The Wild also signed defenceman Ryan Lannon to a one-year deal. Lannon played for new Wild coach Todd Richards with the Wilkes-Barre/Scranton Penguins in the AHL. Lannon spent last season with the San Antonio Rampage of the AHL.