Preheat oven to 400 degrees (F). Line a baking sheet with parchment paper and set it aside until needed.
Peel, core, and thinly slice your apples. In a small bowl combine brown sugar, cornstarch, cinnamon, and nutmeg. Toss the apples together with the sugar mixture, making sure all the slices get coated.
On a lightly floured surface roll pizza dough into 8" thin circles.
Fill one side of each circle with 1/4 of the apple mixture, then fold the dough over the filling and pinch the edges closed to seal. You can also crimp them shut with a fork!
Brush the tops of each calzone with a small amount of melted butter, and sprinkle with 1/2 tablespoon of the cinnamon sugar mixture.
Place calzones on a parchment paper lined baking sheet, and bake for 15-18 minutes. Serve with a scoop of ice cream or a dollop of whipped cream, and eat warm!
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