Preheat oven to 350°F. Grease a standard loaf pan or line it with parchment paper.
In a large mixing bowl, whisk together the eggs, sugar, oil, and vanilla until well combined.
In a separate bowl, combine the flour, cinnamon, salt, baking soda, and baking powder.
Add the dry ingredients to the wet ingredients and stir just until combined.
Fold in the finely shredded zucchini, including all of its natural moisture. Do not squeeze or drain the zucchini.
Pour the batter into the prepared loaf pan and spread evenly.
Bake for 50–60 minutes, or until the loaf is golden and a toothpick inserted into the center comes out clean.
Allow the zucchini bread to cool in the pan for about 10 minutes before transferring it to a cooling rack.