Heat oil in large skillet. Brown chicken over med-high heat. Season w/salt and pepper. Combine apple juice and mustard; pour over chicken. Cover; cook over med-low heat for 45 minutes. Add apples, raisins and green onions. Cover; cook 5-10 more minutes.
Place chicken and apples on serving platter; keep warm. Gradually stir combined cornstarch and water into cider liquid. Cook until thickened. Serve over chicken and apples.