Preheat oven to 425 degrees. Line a large baking sheet with aluminum foil and spray lightly with non-stick cooking spray.In a large bowl, combine bread crumbs and Parmesan cheese. Place the flour in it's own small bowl and also place the beaten eggs in their own bowl.Working with a handful of green beans at a time, dip the green beans in flour, then into the eggs, then dredge in bread crumb mixture, pressing the beans down into crumbs until they are completely coated.Place green beans in a single layer onto the prepared baking sheet. Put pan in the oven and bake for about 10-12 minutes, or until golden brown and crisp.Serve immediately.