Heat oven to 475°F (245°C) with a pizza stone or baking sheet inside. Let the dough rest at room temperature while the oven heats.
Stretch dough on a lightly floured surface. Move it to parchment, brush the edge with olive oil, and spread sauce in a thin layer, leaving a border.
Scatter mozzarella and the sliced vegetables evenly over the top. Sprinkle with oregano.
Transfer pizza and parchment to the hot stone or sheet. Bake 10–14 minutes, until the crust is browned and cheese bubbles. Rest 3 minutes before slicing.