Preheat your oven to 425°F (218°C). Line a baking sheet with parchment paper.
In a bowl, beat the eggs with salt and black pepper. On a large plate or container, mix the panko breadcrumbs with Parmesan cheese.
Working in batches, dip the zucchini strips into the beaten eggs, then roll them in the panko-Parmesan mixture, pressing gently to coat well.
Place the coated zucchini fries on the lined baking sheet. Bake for 20-25 minutes, flipping halfway through, until golden brown and crispy.
Enjoy immediately with ranch dressing or your favorite dipping sauce!