Preheat oven to 350°F (175°C) and line a baking sheet with parchment paper.
Mix Dry Ingredients: In a large bowl, whisk together flour, sugar, baking powder, cinnamon, nutmeg, and salt.
Combine Wet Ingredients: In another bowl, beat eggs, then mix in milk, vanilla extract, and melted butter until smooth.
Fold in Apples: Gently mix apples into the batter until evenly distributed.
Scoop & Bake: Drop spoonfuls of batter onto the baking sheet, leaving space between each fritter. Bake for 15-20 minutes or until golden brown.
Make the Glaze: While baking, whisk powdered sugar, milk, and vanilla extract until smooth.
Glaze & Broil: Brush fritters with glaze, then broil for 2 minutes to caramelize. Apply a second glaze coat and let them cool slightly before serving.