Preheat your oven to 350°F (175°C) and grease your cake or loaf pan to prevent sticking.
In a large mixing bowl, whisk together the sifted flour and sugar until well combined and airy.
Pour in the melted butter, eggs, vanilla extract, and milk, then whisk until the batter is smooth and slightly thickened.
Gently fold in the chopped apples, ensuring they are evenly distributed throughout the batter.
In a small bowl, mix together the sugar and cinnamon to create the cinnamon swirl mixture.
Pour half of the batter into the prepared pan, then sprinkle evenly with half of the cinnamon sugar mixture.
Add the remaining batter on top and smooth the surface with a spatula.
Sprinkle the rest of the cinnamon sugar evenly over the top of the batter.
Bake in the preheated oven for about 40 minutes, or until the top is golden and a toothpick inserted in the center comes out clean.
Remove the cake from the oven and let it cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.
Optionally, drizzle with a pearly glaze or dust with powdered sugar for a finishing touch.
Slice and serve the cake once cooled, revealing beautiful cinnamon swirls and moist apple pieces within.