Grate the zucchini using a box grater. Place the grated zucchini in a colander and sprinkle with salt. Let it sit for 10 minutes to drain excess water.
In a bowl, whisk together the egg, milk, salt, and pepper.
Squeeze out as much water as possible from the zucchini. Add the zucchini, flour, and Parmesan cheese to the egg mixture. Mix until combined.
Heat olive oil in a skillet over medium heat. Drop spoonfuls of the zucchini mixture into the hot oil.
Cook for 2-3 minutes per side, or until golden brown and crispy.
Remove the fritters from the skillet and place them on a plate lined with paper towels to drain excess oil.
Serve warm with your favorite dipping sauce, such as sour cream or tzatziki.
Notes
For extra flavor, add a pinch of garlic powder to the batter. Serve immediately for best results.