In a mixing bowl, combine flour, sugar, baking powder, cinnamon, and salt.
In a separate bowl, beat the eggs with a fork, then add milk, melted butter, and vanilla.
Gently fold dry and wet ingredients together until just combined (do not overmix.) Fold in apples. Add enough apples to make a very chunky batter. You want the apples to shine though!
Heat a couple of inches of canola oil over medium to medium-low heat. When it gets hot, drop a little drop of batter into the oil. If it sizzles immediately and rises to the top, the oil is ready; if it burns quickly, turn down the heat.
Drop teaspoons of batter into the hot oil, six or eight at a time. Sometimes they'll flip over by themselves; sometimes you have to flip them. Just watch them and make sure they don't get too brown, but cook them long enough to make sure the batter's cooked through, about 2 to 2 1/2 minutes total.
Remove and drain on a paper towel. Dust very generously with powdered sugar, or dip fritters in a light doughnut glaze (mix all glaze ingredients together, then dunk warm fritters).
**May be heated up the next day in a 350 degree oven for 8 minutes.