Bake the Pizzas: Coat two 9-inch round cake pans with 2 tablespoons of olive oil each.
Transfer 1 dough ball to dry work surface and roll out into a 13-inch circle. Transfer dough to the pan by rolling the dough loosely around a rolling pin and unrolling into the pan. Lightly press dough into the pan, working into corners and 1-inch upsides. If dough resists stretching, let it relax for 5 minutes before trying again. Repeat with remaining dough ball.
For each pizza, sprinkle 2 cups mozzarella evenly over the surface of the dough. (If you’re using any meat or veggie toppings, add them now, on top of the cheese.) Spread 1¼ cups tomato sauce over the cheese (or toppings) and sprinkle 2 tablespoons Parmesan over the sauce. Bake until crust is golden brown, 20 to 30 minutes. Remove pizza from the oven and let rest 10 minutes before slicing and serving.