This didn't copy and paste properly, but you know that you can shoot squirrels year round. Just not that pestsky western variety.

Small Game
Species Bag / Possession Limits Season Dates Notes/Exceptions
Forest grouse* 4/12 Sept. 1-Dec. 31 Mixed Bag
Bobcat None Sept. 1-Mar. 15 Cannot be hunted with dogs
Pelt must sealed by WDFW
Raccoon None Sept. 1- Mar. 15 Closed on Long Island within Willapa National Wildlife Refuge
Fox None Sept. 1-Mar. 15 Closed within Mount Baker-Snoqualmie, Okanogan, Wenatchee, and Gifford Pinchot National Forests, and GMUs 407 and 1410
Coyote* None Year round Hunting license required. Cannot be hunted with dogs
Cottontail rabbit and Snowshoe hare 5/15 Sept. 1-Mar. 15
Crows None Oct. 1-Jan. 31 Crows in the act of depredation may be taken at any time.
Mountain beaver None Year round Hunting license required.
European rabbit None Year Round Hunting license required.
Gopher None Year Round Except mazama pocket gophers
Gray and fox squirrels None Year Round Except western gray squirrels Ground squirrels None Year Round Except golden-mantled and Washington ground squirrels
Moles None Year Round Hunting license required.
Nutria None Year Round Hunting license required.
Virginia opossum None Year Round Hunting license required.
Porcupine None Year Round Hunting license required.
Shrews None Year Round Hunting license required.
Spotted skunk None Year Round Hunting license required.
Striped skunk None Year Round Hunting license required.
Voles None Year Round Hunting license required.
Yellow-bellied marmot None Year Round Hunting license required.
Note: Olympic and Hoary marmots are protected.