Grease with butter and flour two 8x4 bread loaf pans. Preheat oven to 325 degrees F.
Sift together all the dry ingredients: Flour, salt, baking soda, baking powder, and cinnamon in a large bowl.
Beat with a hand mixer all the wet ingredients in a small bowl: eggs, applesauce, oil, sugar, and vanilla. Add this mixture to the dry ingredients bowl. Mix with hand mixer until the flour-mixture is folded in and the mix is creamy.
Stir in grated zucchini and nuts until well combined. Pour into prepared loaf pans.
Bake for 65 minutes or until tester inserted in the center comes out clean. Cool in pan on rack for 20 minutes. Remove bread from pans and completely cool.