Peel, core and finely chop the apples. In a large frying pan, heat the 1 tablespoon oil over medium heat. Add apples and saute a few minutes until soft. Sprinkle with cinnamon and sugar and remove from the pan.
Clean the pan, add frying oil and heat to 375°F.
While oil is heating, combine flour, sugar, baking powder and salt in a large bowl.
Whisk milk, eggs and 1 tablespoon of oil in a smaller bowl (or in the measuring cup) until well combined.
Add wet ingredients to dry ingredients and mix until combined. Fold in the apple pieces.
Drop the apple batter into the hot oil by the spoonful and fry until golden brown. Don't overcrowd the pot. Give the oil a chance to heat back up between batches.
Remove the fritters and drain on a plate lined with paper towels. Sprinkle with cinnamon sugar or powdered sugar as soon as the fritters are cool enough to handle.