In a medium-sized mixing bowl, sift together the all-purpose flour, granulated sugar, baking powder, salt, and ground cinnamon. Once combined, create a well in the center.

Into this well, add the measured milk, eggs, and applesauce. Mix the wet and dry ingredients until just combined to form a batter. Avoid overmixing. Proceed by gently folding the finely diced apples into this batter.

Heat a heavy skillet, dutch oven, or deep fryer with approximately 1 1/2 inches of either canola oil or vegetable oil. Use a cooking thermometer to ensure the oil reaches and maintains a temperature of 375°F (190°C).

Carefully dispense approximately 1/4 cup of the batter into the hot oil for each fritter, ensuring it is spread out evenly. Fry each fritter until it achieves a uniform golden brown hue on both sides, which typically requires around 2 minutes per side. Employ a slotted spoon to extract the fritters from the oil, allowing them to drain on paper towels.

To prepare the glaze, in a separate bowl, whisk together the powdered sugar, milk, and pure vanilla extract until smooth.

Once the fritters have cooled slightly, immerse each one into the glaze, ensuring that both sides are adequately coated. Finally, place the glazed fritters on wire racks to allow any excess glaze to drip off and for them to air dry.