Pour 3 to 4 inches of oil into a medium pot and heat to 350°F (175°C).
Line a baking sheet with several layers of paper towels.
Separate the biscuit dough and cut a hole in the center of each biscuit using a small cookie cutter, pastry tip, or small glass.
Carefully fry the doughnuts in batches for 3 to 5 minutes per side until evenly golden brown.
If the oil becomes too hot and the doughnuts brown too quickly, reduce the heat slightly.
Remove the doughnuts with a slotted spoon and place them on the prepared baking sheet to drain.
Allow the Biscuit Doughnuts to cool for 10 to 15 minutes.
Meanwhile, sift the confectioners' sugar into a bowl.
Add the milk and whisk until smooth.
Stir in the vanilla extract.
If the glaze is too thick, add additional milk one tablespoon at a time.
Dip each cooled doughnut into the icing.
Place on parchment paper and immediately decorate with sprinkles if desired.
Let the glaze set before serving.