Heat oil in 12-inch skillet over medium-high heat. Add chicken and cook 10 min. or until well browned on both sides.
Stir sauce and 3 tbsp. Parmesan cheese in skillet. Reduce heat to medium. Cover and cook 10 min. or until chicken is cooked through.
Sprinkle mozzarella cheese and remaining Parmesan cheese over chicken. Let stand 5 min. or until cheese is melted.
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