Preheat oven to 375°F (190°C) and grease a 12-cup muffin tin or line with paper liners.
In a medium bowl, whisk together the flour, baking soda, baking powder, salt, and ground cinnamon.
In a large bowl, beat the egg with the granulated sugar, brown sugar, oil, and vanilla extract until well combined.
Stir the grated zucchini into the wet mixture.
Gradually fold the dry ingredients into the wet ingredients until just combined, taking care not to overmix.
Divide the batter evenly among the 12 muffin cups, filling each approximately three-quarters full.
Bake for 20 to 25 minutes, or until a toothpick inserted into the center of a muffin comes out clean.
Allow muffins to cool in the pan for 5 minutes before transferring to a wire rack to cool completely.