Pour oil into a deep skillet or Dutch oven to a depth of about 3 inches.
Heat to 375 degrees.
Sift flour, sugar, salt, and Apple Pie Spice into a large mixing bowl.
Place eggs in a separate bowl and beat them lightly.
Stir in milk and vanilla.
Make a well in the center of the dry ingredients and pour in the milk mixture. Add butter and beat with a mixer on low speed to moisten, about 1/2 minute. Scrape down sides of bowl and increase speed to medium for 2 minutes longer. Fold in apples. Using a 1/4 cup size measuring cup, drop into hot oil. Be careful not to splash the oil on yourself. If your pot is not very large at the top, you may be able to cook only one at a time.As the fritters cook, they will rise to the top.
When browned on the first side, carefully turn them over with a spatula to brown the second side.
Drain on paper towels and sprinkle immediately, and generously, with confectioner sugar or glaze I prefer glaze.
To make glaze confectioners sugar and milk or water whisk together and glaze while warm.