If you are making your own dough (recommended), allow extra prep time for mixing and proofing.
When ready to make the pizza, preheat oven to 450 degrees with a pizza stone or cast iron skillet inside, for at least 30 minutes.
Toss mushroom pieces with olive oil, balsamic vinegar, garlic, shallot, dried oregano, red pepper flakes, and a pinch of salt and pepper. Let sit at room temperature while you prepare your pizza.
Push, roll, or twirl your pizza dough into desired shape and size. Set onto heated stone or skillet. Poke a few holes in the center. Bake 6-8 minutes until slightly golden. Remove from oven.
Brush dough with 1 tablespoon olive oil. Spread mushrooms evenly over the crust, then distribute mozzarella overtop. Sprinkle with herb seasoning. Bake 15-18 minutes until cheese turns golden and is bubbly. To serve, top with fresh arugula, as desired.