In a medium bowl, combine the flour, salt, baking soda, baking powder and cinnamon. Stir well with a whisk.
In the bowl of a stand mixer, beat the eggs, applesauce, oil, sugar and vanilla extract. Mix very well.
Slowly add the dry ingredients (about 1/3 at a time), mixing as you go. Then beat well to fully combine.
Stir in the shredded zucchini into the batter and mix well with a spatula.