Parssinen was called up from the AHL on Thursday, per Robby Stanley of NHL.com.
Parssinen was loaned to AHL Milwaukee on Tuesday.
Parssinen produced a goal and an assist in Friday's 6-5 overtime win over the Hurricanes.
Parssinen scored a goal on two shots in Thursday's 5-1 win over the Lightning.
Parssinen netted a goal in a 6-1 win against Minnesota on Thursday.
Parssinen netted a power-play goal in Wednesday's 4-2 win against the Flames.
Parssinen scored a goal on two shots in Tuesday's 5-3 loss to Tampa Bay.
Parssinen (lower body) is playing in the Predators' intrasquad game Thursday, Emma Lingan of the Predators' official site reports.
Parssinen missed Friday's practice and Saturday's scrimmage because of a lower-body injury, Emma Lingan of the Predators' official site reports.
Parssinen (upper body) hasn't resumed skating according to GM David Poile, Robby Stanley of 102.5 The Game reports Tuesday.