Preheat oven to 375°F (190°C) and line a baking sheet with parchment paper.
In a bowl, whisk together flour, brown sugar, baking powder, cinnamon, nutmeg, and salt.
Cut cold butter into the flour mixture until it resembles coarse crumbs.
In another bowl, mix milk, egg, and vanilla extract, then add to the dry ingredients.
Gently fold in chopped apples, ensuring they are evenly distributed.
Scoop batter onto the baking sheet and shape into small mounds.
Bake for 18-20 minutes until golden brown and firm. Let cool.
Mix confectioners’ sugar, milk, and vanilla to make a glaze, then drizzle over fritters before serving.