Preheat the oven to 350 degrees Fahrenheit. Grease a 9x5inch bread pan with nonstick spray.
Add the flour, cinnamon, baking powder, baking soda, and salt to a medium sized bowl and whisk them together. Set it aside. 2 cups all purpose flour, 2 tsp ground cinnamon, 1 tsp baking powder, 1/2 tsp baking soda, 1/2 tsp salt
In a medium sized bowl add the oil, and the sugars and whisk them together. 1/2 cup vegetable oil, 1/2 cup brown sugar, 1/2 cup granulated sugar
Add in the banana, eggs, and vanilla extract and whisk them into the sugar until just combined. 1 cup mashed banana, 2 large eggs, 1 tsp vanilla extract
Add the dry ingredients to the wet ingredients, and stir them together slowly, until just combined.
Add the zucchini and fold it into the bread. 1 cup shredded zucchini
Pour the batter into the prepared bread pan.
Bake the bread for 50-65 minutes, or until a toothpick inserted in the middle comes out mostly clean (a few crumbs are okay, but no runny batter).
Remove the banana zucchini bread from the oven and let it cool in pan for 10 minutes. Then remove it from the pan to cool on a wire cooling rack completely.