Add all dry ingredients (flour, granulated sugar, baking powder, salt, cinnamon, and nutmeg) in a large bowl and whisk to combine. Stir in apples.
Next add wet ingredients (cider, eggs, melted butter, and vanilla extract) to a separate bowl and whisk together then pour mixture into dry ingredients and whisk until combined.
Heat 3 cups of vegetable oil in dutch oven over medium-high heat to about 350 degrees. Use 1/3-cup measure to transfer 5 heaping portions of batter into the hot oil. Press batter lightly with the back of spoon to flatten somewhat. Fry until golden brown (about 2 to 3 minutes each side). Once all fritters are fried, remove fritters and transfer fritters to wire rack set inside rimmed baking sheet or to a paper towel to dry. Bring oil back to 350 degrees and repeat with remaining batter. Let fritters cool 5 minutes.
Whisk together confectioners’ sugar, cider, cinnamon, and nutmeg in medium bowl until smooth. Spoon over fritters and let set for 10 minutes then serve.