Trim ends off zucchini and slice into ½" slices.
Beat eggs with salt and pepper to taste. Combine parmesan cheese, bread crumbs and salt & pepper to taste in a separate dish.
Pour oil into a pan to ½" deep and heat over medium heat.
Dredge zucchini in flour, dip in eggs and finally dip in bread crumbs. Repeat with remaining slices.
Add zucchini to the pan, a few at a time (don't crowd) cooking 2-3 minutes per side.
Drain on paper towels. Season with salt if desired.