Preheat your air fryer to 320 degrees F, air fryer setting.
In a medium bowl, combine the flour, baking soda, baking powder, cinnamon, nutmeg, ginger, and salt in a bowl until combined.
In a large bowl, mix the carrots, oil, eggs, brown sugar, applesauce, and vanilla extract. Add the dry ingredients into the wet ingredients and mix until just combined. Pour the batter into your prepared loaf pan about ⅔ full and bake for 20-30 minutes in the air fryer depending on pan size, or until a toothpick inserted in the center comes out clean.
Meanwhile, prepare your frosting. Beat the cream cheese and butter with an electric or hand mixer until creamy and smooth. Add in the powdered sugar and vanilla and mix for another minute until well combined. Remove and set aside.
Once the carrot loaf has finished cooking, remove it from the air fryer and transfer it to a wire rack to cool completely. Once the loaf is cooled, spread the frosting over the loaf top and garnish it with chopped pecans. Slice and serve, enjoy!