Preheat oven to 400°F and line a baking sheet with foil or parchment.

Mix breadcrumbs, grated carrot, chopped spinach, Parmesan, garlic powder, salt, and pepper in a bowl.

Whisk egg and milk in a shallow dish. Dip each drumstick in egg mixture, then roll in breadcrumb mix to coat.

Place drumsticks on the sheet, brush with olive oil, and bake 30-35 minutes until golden and cooked through.

Rest 5 minutes before serving.