Position one oven rack in the middle setting. Position another rack in the lowest setting, and place a rimless baking sheet on the bottom rack. Preheat oven to 500°.
Heat a large nonstick skillet over medium-high heat. Coat pan with cooking spray. Add sliced mushrooms to pan, and sauté for 5 minutes or until moisture evaporates.
Remove plastic wrap from Basic Pizza Dough; discard. Brush oil over dough. Remove preheated baking sheet from oven; close oven door. Slide dough onto preheated baking sheet, using a spatula as a guide. Bake on lowest oven rack at 500° for 8 minutes. Remove from oven.
Spread Basic Pizza Sauce in an even layer over crust, leaving a 1/4-inch border. Top sauce with mushrooms. Sprinkle mushrooms evenly with mozzarella and Parmesan. Arrange pepperoni in an even layer on top of cheese. Bake on middle rack an additional 10 minutes or until crust is golden brown and cheese melts. Cut into 12 wedges.