Preheat the oven to 400 degrees F. Spray a baking sheet with nonstick spray coating and set aside.
In a 2-cup measure or similar small microwave-safe bowl, combine the apple, cranberries, sugar, and cinnamon. Stir to mix. Stir in the water. Cover with wax paper and microwave on HIGH power for 3 minutes, stopping and stirring once during microwaving. Cool slightly.
Working on a nonstick spray-coated surface, flatten each biscuit into a three-inch round. Spoon about 2 tsp of the mixture into the center of the biscuit. Fold the biscuit in half over the filling, making a turnover shape. Seal the edges by pressing closed with fingers, then with the tines of a fork. Lay the biscuits on the prepared baking sheet. Prick the top of each turnover with the fork tines.
Bake for 8 to 10 minutes, or until the tops of the biscuits begin to brown. Serve hot. Leftovers will keep for 1 to 2 days, tightly covered, at room temperature. Makes 10 Turnovers.