To make the fritters, spread the prepared apples in a single layer on paper towels and pat dry with paper towels.

Combine the flour, sugar, baking powder, salt, cinnamon, and nutmeg in a large bowl. Whisk the cider, eggs, and melted butter in a medium bowl. Stir the apples into the flour mixture and stir in the wet ingredients until incorporated.

Set a wire rack over a rimmed baking sheet. Heat the oil in a Dutch oven or other heavy pot over medium-high heat until it reaches 350 degrees (use a candy thermometer or an instant-read thermometer to check.) Use a 1/3 cup measuring cup to carefully drop batter into the oil, being careful not to crowd the pan (I can't make more than 3 at a time.) Fry, adjusting the burner as necessary, to keep the oil between 325-350 degrees. Cook about 2-3 minutes per side or until golden brown. Carefully remove from the hot oil and allow to drain on the wire rack.

To make the glaze, whisk together the powdered sugar, apple cider, cinnamon, and nutmeg. When the fritters have cooled for 5 minutes, dip the top half of each fritter into the glaze and return to the cooling rack. Let the glaze set for 10 minutes.