Preheat your oven to 350°F (175°C).
In a blender or food processor, combine the peeled apple chunks, sugar, eggs, and oil. Blend for about 15 seconds until the mixture is smooth.
Add the self-rising flour to the blender and pulse twice, being careful not to overblend.
Gently fold in the remaining apple chunks into the batter.
Grease a loaf pan with cooking spray and pour the batter into the pan.
Bake for approximately 45 minutes, or until a toothpick inserted into the center comes out clean.
Let the cake cool before serving.
