Preheat oven to 375°F and line baking sheets with parchment.
In a large bowl, cream together butter and sugars until fluffy. Beat in egg, vanilla, and zucchini until blended.
In another bowl, mix together flours, baking soda, and salt. Stir into sugar mixture until well incorporated, then mix in chocolate chips.
Scoop onto prepared baking sheets and bake for 10-12 minutes, or until golden on the bottom. Let cool a few minutes on the baking sheet, then transfer to a wire rack to cool completely.
Notes
If you don't have whole wheat flour, swap in all-purpose flour for a total quantity of 2 ½ cups.