Parssinen scored a goal on three shots, added two hits and logged two PIM in Wednesday's 3-1 loss to the Blackhawks.
Parssinen logged an assist and two shots on goal in Monday's 3-1 win over the Panthers.
Parssinen and a seven-round pick in the 2026 NHL Draft were acquired by Colorado from Nashville on Saturday in exchange for Ondrej Pavel and a 2027 third-round selection.
Parssinen was scratched for the eighth time in 11 games when he sat out Saturday's 5-2 loss to the Avalanche.
Parssinen notched an assist and four hits in Monday's 3-2 overtime loss to the Avalanche.
Parssinen scored a goal in Thursday's 6-2 loss to the Panthers.
Parssinen scored his first goal of the season in Wednesday's 3-2 loss to the Capitals.
Parssinen was assigned to AHL Milwaukee on Monday.
Parssinen agreed to terms on a one-year $775,000 contract with Nashville on Monday.
Parssinen was reassigned to AHL Milwaukee on Saturday.