Grate the zucchini and place it in a mixing bowl. Sprinkle with salt and let it sit for 10 minutes to draw out moisture.

After 10 minutes, squeeze out excess moisture from the zucchini using paper towels. In the same bowl, add flour, beaten egg, feta cheese, black pepper, and parsley. Mix until well combined.

Heat vegetable oil in a skillet over medium heat. Scoop about 2 tablespoons of the mixture and flatten it into a patty. Fry until golden brown, about 3-4 minutes per side. Repeat with remaining mixture.

Remove fritters from the skillet and drain on paper towels. Serve warm with your favorite dipping sauce.