Bellows was placed on waivers for assignment to AHL Milwaukee, Elliotte Friedman of Sportsnet reports.
Bellows signed a one-year, two-way contract with the Predators on Wednesday.
Bellows was released from his professional tryout contract with Carolina on Friday.
Bellows will participate in training camp with Carolina on a professional tryout agreement.
Bellows will not be qualified by the Flyers, Stefen Rosner of The Hockey News reports.
Bellows picked up a goal in Saturday's win against the Red Wings.
Bellows scored his second goal of the season in Saturday's 5-1 loss to the Penguins.
Bellows was recalled from AHL Lehigh Valley on Monday, Adam Kimelman of NHL.com reports.
Bellows was placed on waivers Friday, Greg Wyshynski of ESPN.com reports.
Bellows was recalled from AHL Lehigh Valley on Thursday.