Heat 2 tbsp. oil in a 12" skillet over medium-high. Working in batches, and adding remaining oil as needed, cook veal, flipping once, until golden, 3–4 minutes. Transfer to a baking sheet in a single layer. Spoon ⅓ cup reserved sauce over each cutlet; top with 1 slice provolone and sprinkle with 1½ tbsp. parmesan. Broil until cheese is golden and bubbly, 4–5 minutes. Garnish with parsley.