Preheat the oven to 350 degrees F. Grease a 9 inch square baking dish, or line it with parchment paper so that the paper hangs over two sides.
In a large bowl, whisk together the dry ingredients.
Squeeze the excess liquid out of the shredded zucchini.
Add the zucchini, canola oil, applesauce, vanilla extract, vinegar, and water to the dry ingredients, and stir together. Add the chocolate chips and stir again.
Pour batter into the prepared baking dish. Sprinkle a few more chocolate chips on top if desired.
Bake at 350 degrees for about 30-35 minutes or until a toothpick inserted into the center of the cake comes out clean.
Notes
Store leftover cake tightly covered at room temperature. It should stay fresh for about 4 days.