Preheat oven to 425 degrees F. Lightly oil a baking sheet or coat with nonstick spray.
In a large bowl, combine Panko and Parmesan; season with salt and pepper, to taste. Set aside.
Working in batches, dredge asparagus in flour, dip into eggs, then dredge in Panko mixture, pressing to coat.
Place asparagus in a single layer onto the prepared baking sheet. Place into oven and bake for 10-12 minutes, or until golden brown and crisp.