Line a brownie pan with parchment paper; set aside.
Place the shredded zucchini in a kitchen towel, wrap the towel around the zucchini, and squeeze out as much of the water as possible.
In your mixer's bowl, combine the zucchini, cashew butter, honey, and egg; mix for 30 seconds or until thoroughly combined. Add baking soda, cocoa, and vanilla; continue to beat until well incorporated. Fold in the chocolate chips.
Pour the batter into the brownie pan and bake for 40 to 45 minutes, or until a toothpick inserted in the center comes out clean.
Transfer to a wire rack and cool completely in the pan.
Nutritional info is an estimate and provided as courtesy. Values may vary according to the ingredients and tools used. Please use your preferred nutritional calculator for more detailed info.