Grease and flour two 8 x 4 inch pans or 5 mini loaf pans. Preheat oven to 350 degrees F. Mix flour, salt, baking powder, soda, cinnamon and nutmeg in medium bowl.
Beat eggs, oil, applesauce, vanilla, and sugar together in a large bowl. Add dry ingredients to the creamed mixture and beat well. (Batter will be very thick.)
Stir in zucchini and nuts until well combined. Pour batter into prepared pans.
Bake for 40 to 60 minutes or until tester inserted in the center comes out clean. Cool in pan on wire rack for 20 minutes. Remove bread from pan. Cool completely.
Recipe Notes
Substitutions: 3 teaspoons cinnamon and omit the nutmeg, pecans instead of walnuts