For the mushrooms: Sauté 8 oz. trimmed, chopped oyster mushrooms with 1/2 tsp. grated fresh garlic and 1/2 tsp. minced fresh ginger in 1 Tbsp. grapeseed oil until tender. Toss with 1 tsp. toasted sesame oil.
For the rice vinaigrette: Whisk together 1/4 cup pickling liquid from quick pickles, 1 Tbsp. avocado oil, 1 Tbsp. toasted sesame oil, and 1/4 tsp. kosher salt. Cover; keep at room temperature.
Stir mayonnaise and sriracha together in a small bowl until smooth. Place wrap on a work surface and spread with sriracha mixture. Layer with spinach, mushrooms, salmon, and pickles; roll up jelly roll– style.