Lay 3 lipped plates in a row. On the first one, measure out the flour. On the second, beat the eggs together. On the third, mix together the breadcrumbs, Parmesan, salt, and pepper.
Dredge the asparagus in the flour, and then dip the dredged asparagus in the beaten egg. Coat the asparagus with the breadcrumbs mixture. Continue with the rest of the asparagus (wiping your fingers clean between each one to avoid build-up on your fingers).
Transfer to a wire rack set on a baking sheet, and bake until golden brown, about 7 to 13 minutes. Serve hot.