Preheat oven to 450°F.
If using pizza dough: divide into 2 pieces and roll each into a rough 6 × 8-inch rectangle.Dock the dough with a fork, brush with green goddess sauce, and lightly season with salt and pepper. Prebake crusts for 10-15 minutes, until lightly golden. Remove pizza crusts from the oven.
Top cooked dough or flatbread top with mozzarella slices and peach wedges. Sprinkle on oregano.
Bake until the cheese is melted and bubbly. Remove from oven, sprinkle with arugula, and serve immediately.
