To prepare applesauce, melt butter in a medium saucepan over medium heat. Add apples to pan; cook 4 minutes, stirring frequently. Add 1/2 cup water, sugar, juice, and 1/8 teaspoon salt to pan; cook 25 minutes, stirring occasionally.
Cover and cook 25 minutes or until apples are tender. Mash gently with the back of a spoon.
To prepare pork, heat a large nonstick skillet over medium-high heat. Place flour in a shallow dish. Sprinkle pork evenly with 3/4 teaspoon salt and pepper; dredge pork in flour.
Add oil to pan; swirl to coat. Add pork to pan; cook 5 minutes or until golden. Turn pork over; cook 3 minutes or until desired degree of doneness. Serve with applesauce.