Position a rack in the upper third of the oven and preheat to 400 degrees . Cover a rimmed baking sheet with foil and grease the foil.
Place the beaten eggs and bread crumbs into separate shallow bowls. In another bowl, mix the ricotta and sun-dried tomatoes. Dip the chicken cutlets into the egg, then coat with the bread crumbs and place on a work surface. Place a slice of provolone and a heaping tablespoon of ricotta mixture on each cutlet. Roll up and secure with toothpicks.
Place the chicken roll-ups side by side on the prepared baking sheet and drizzle with the olive oil. Bake until the chicken is golden and the cheese is bubbling, about 20 minutes.