In a shallow bowl, mix together the gluten-free flour, grated Parmesan cheese, garlic powder, salt, and black pepper.
In another bowl, beat the eggs.
Heat a large skillet over medium heat and add enough olive oil to coat the bottom of the pan.
Dip each zucchini slice into the beaten eggs, then coat it in the flour and Parmesan mixture, shaking off any excess.
Place the coated zucchini slices in the hot skillet in a single layer. Fry for about 2-3 minutes on each side, or until golden brown and crispy.
Remove the cooked zucchini slices from the skillet and place them on a plate lined with paper towels to drain excess oil.
Repeat with the remaining zucchini slices, adding more olive oil to the skillet as needed.
Serve the pan-fried zucchini hot as a delicious and nutritious side dish.