Preheat the oven to 350°F. Line two baking sheets with parchment paper.
In the bowl of a stand mixer fitted with the paddle attachment, beat together the butter, brown sugar and sugar on medium speed until light and fluffy, about 2 minutes. Add the eggs and vanilla extract and beat until combined.
In a small bowl, whisk together the flour, baking soda, cinnamon and salt.
Add the flour mixture to the stand mixer and beat just until combined. Add the oats, grated zucchini and chocolate chips and beat until combined.
Using an ice cream scoop or two spoons, portion out 2-tablespoon scoops of batter and drop them onto the baking sheets, spacing the mounds about 2 inches apart.
Bake the cookies for 10 to 12 minutes. Remove the cookies from the oven and allow them to cool for 2 minutes on the baking sheet before transferring them to a rack to cool completely.