Place chopped apples on a paper towel lined baking sheet and pat dry with paper towels. This will remove excess moisture from the apples and keep apple fritters from getting soggy.
In a large bowl, whisk together flour, granulated sugar, baking powder, salt, cinnamon, and nutmeg. Stir apples into the flour mixture until they’re well-coated.
In a separate medium size bowl, whisk together cider, eggs, melted butter, and vanilla.
Stir the cider mixture into the flour/apple mixture until just incorporated.
In a dutch oven or a large pot, heat oil over medium-high heat until the oil temperature reaches 350 degrees F.
Using a ⅓-cup, scoop batter and transfer into the oil. Only fry a few fritters at a time to ensure they're not touching each other in the oil. Once the batter is in the oil, press down on it lightly with the back of a spoon to flatten.
Fry the fritters, trying your best to keep the oil at 350 degrees and no lower than 325 degrees. Flip the fritters after 2-3 minutes and let them fry an additional 2-3 minutes on the other side.
Once golden, transfer the fritters to a wire rack on a rimmed baking sheet. Make sure you bring the oil temperature back up to 350 degrees before adding the remaining batter to it. Let the fritters cool a bit before drizzling each of them with about 1 Tbsp icing. Let glaze set for about 10 minutes.