Grate the zucchini and squeeze out excess moisture in a clean towel. Place the zucchini in a mixing bowl.
Add the eggs, breadcrumbs, Parmesan, parsley, garlic powder, salt, and pepper. Stir until the mixture holds together.
Heat the vegetable oil in a large skillet over medium heat. Scoop about 1/4 cup of the mixture for each fritter and flatten it slightly in the pan.
Cook the fritters for 3 to 4 minutes per side until golden and firm. Remove them to a plate lined with paper towels.
Once the fritters cool slightly, press olive slices onto each one to form eyes and a mouth.