The Predators announced the signing Wednesday along with other moves.
Bitetto has played four games this season. He played the first two games before being placed on injured reserve Oct. 18 with an upper-body injury, and Bitetto got his first point this season on an assist in the first period Tuesday night of a 5-3 win at Colorado. Bitetto left late in the first period with an upper-body injury.
Pardy, 32, has 52 points in 338 NHL games with Calgary, Dallas, Buffalo, Winnipeg and Edmonton. He has played 12 games with AHL Milwaukee this season.