Heat gas or charcoal grill. Cut four 18x12-inch sheets of heavy-duty foil; spray foil with cooking spray.
In medium microwavable bowl, toss potatoes, 1/2 teaspoon of the seasoned salt, 1/2 teaspoon of the Italian seasoning and the oil to coat. Microwave on High 4 minutes or just until potatoes are fork-tender.
Place 1 beef patty and 1/4 cup of the green beans on each sheet of foil; sprinkle patties with remaining 1/2 teaspoon seasoned salt and 1/2 teaspoon Italian seasoning. Top each evenly with potatoes. Wrap each packet securely using double-fold seals, allowing room for heat expansion.
When grill is heated, place packets on gas grill over medium heat or on charcoal grill over medium coals; cover grill. Cook 30 to 40 minutes, turning packets over once halfway through cooking, until meat thermometer inserted in center of patties reads 160ºF and potatoes are tender. Carefully open packets to allow steam to escape.