Preheat the oven to 350F (180C). Line a 12-cavity muffin pan with papers.
Chop the ends off of the zucchini. Grate using a cheese grater. Then blot with paper towel.
In a large bowl, whisk together the flour, cinnamon, nutmeg, baking powder, baking soda and salt. Set aside.
In a separate bowl, whisk together the oil, granulated sugar, brown sugar, eggs, orange zest, vanilla and milk until you no longer see lumps of sugar or pieces of egg.
Make a well in the dry ingredients and pour the wet ingredients into the dry ingredients. Gently fold the mixture together until almost combined
Add in the blotted zucchini and gently stir together until you no longer see streaks or lumps of dry ingredients.
Divide the batter evenly between the cupcake liners, filling each about 3/4 full. You should end up with about 12 cupcakes.
Bake in the middle of the preheated oven for about 20-25 minutes or until the tops look just set and an inserted toothpick comes or clean.