Prepare the oven and pans: Preheat the oven to 400°F (200°C). Line 16 standard muffin cups with paper liners and set aside.
Grate the zucchini: Wash the zucchini and cut off both ends. Grate it using the large holes of a box grater. There is no need to peel or squeeze the zucchini.
Combine the wet ingredients: Place the grated zucchini in a large mixing bowl. Add the eggs, buttermilk, cottage cheese, oil, baking powder, and salt. Stir until everything is evenly combined.
Add the dry ingredients: Add the cornmeal and corn flour. Gently mix just until no dry patches remain. Do not overmix the batter.
Fill the muffin cups: Divide the batter evenly among the prepared muffin cups, filling each one to the top. The batter should make approximately 16 muffins.
Bake: Bake for about 30 minutes, or until the tops are lightly golden and a toothpick inserted into the center comes out clean or with a few moist crumbs.
Cool: Remove the muffins from the oven and let them cool in the pans for 15 minutes. Transfer them to a wire rack or serving platter and enjoy slightly warm.