Sherwood scored a goal on two shots and added six hits in Saturday's 4-3 win over the Penguins.
Sherwood collected two secondary helpers in Tuesday's 6-3 win over Chicago.
Sherwood provided an assist and 10 hits in Thursday's 3-2 overtime win over the Panthers.
Sherwood signed a two-year, $3 million contract with the Canucks on Monday.
Sherwood registered an assist in Saturday's 7-4 loss to the Avalanche, along with a shot on goal, a hit and a blocked shot.
Sherwood notched an assist in Saturday's 5-2 win over the Blues.
Sherwood (upper body) is set to play versus Vancouver on Tuesday, Nick Kieser of Nashville Hockey Now reports.
Sherwood was reassigned to AHL Milwaukee on Monday.
Sherwood signed a one-year, $775,000 contract with Nashville on Sunday.
Sherwood logged an assist and six hits in Monday's 4-3 shootout loss to the Canucks.