Preheat the oven to 350°F. Lightly oil a bread pan and set it aside.
Next, pit and chop the dates. Then use a cheese grater to grate the zucchini, until you have about 1½ cups worth. Set both aside.
In a large bowl or stand mixer bowl, add the eggs, applesauce, and date syrup. Mix until combined. Stir in the grated zucchini and chopped dates.
Next, add the almond milk or other dairy-free milk and mix.
Then add the oat flour, all-purpose flour, baking powder, baking soda, salt, and ground cinnamon. Use the mixer attachment or hand mixer to blend it all together until the batter is nice and smooth.
Pour the batter into the bread pan and bake it on the middle oven rack for 1 hour or until it is browned and the top springs back when touched.
Let the bread cool. Serve on its own or with butter.