Preheat oven to 350 degrees and spray a 9 x 5 loaf pan with cooking spray.
In a large bowl, whisk together the flour, Parmesan cheese, baking powder and soda, salt and seasonings.
In a separate bowl, whisk together the eggs, milk, sour cream and melted butter.
Fold the wet ingredients into the dry ingredients. When a few steaks of flour remain, fold in the shredded zucchini until bread batter is well combined. Batter will be very thick.
Spread the batter evenly into the loaf pan. Bake for 55 - 65 minutes, or until toothpick inserted into center of bread comes out clean.
Allow bread to cool in loaf pan for 10 minutes before popping out of loaf pan and continuing to cool on a wire rack. Store wrapped tightly in wax paper.