Combine dry ingredients, flour through baking soda, in a large bowl.
In a medium bowl, whisk together eggs, vanilla extract, buttermilk, and melted butter.
Add wet ingredients to dry and stir just until flour is incorporated into the wet ingredients.
Fold in shredded zucchini and chocolate chips.
Heat a griddle or large nonstick skillet over medium heat. Coat the cooking surface with either oil or butter.
Use a 1/3 cup measuring cup to pour batter onto griddle. Cook until lightly brown on bottom, flip, and continue to cook until batter is set all the way through. Turn heat down some if they are browning too quickly.