Preheat the oven to 350°F (175°C) and prepare a loaf pan.
In a large mixing bowl, combine the dry ingredients: flour, sugar, baking soda, cinnamon, nutmeg, and salt.
In a separate bowl, mix the wet ingredients: applesauce, vegetable oil, and vanilla extract.
Pour the wet mixture into the dry ingredients and stir until just combined.
Fold in the diced apples gently into the batter.
Pour the batter into the prepared loaf pan and smooth the top.
Bake for 60-70 minutes or until a toothpick inserted comes out clean.
Let the bread cool in the pan for 10 minutes, then transfer to a wire rack.
Slice and enjoy your delicious vegan apple bread!