In a bowl, combine the turkey, scallions, parsley, grill seasoning and poultry seasoning. Form into 4 patties, pressing your thumb into the center of each to prevent it from bulging.
In a large skillet, heat the EVOO, 2 turns of the pan, over medium-high heat. Add the patties and cook for 6 minutes on each side for medium. Top each with 3 apple slices and 2 cheese slices, tent the pan with foil and cook until the cheese melts, 1 to 2 minutes.
In a small bowl, mix together the cranberry sauce and mustard; slather on the muffin tops. Pile 2 lettuce leaves on each muffin bottom, top with the patties and set the muffin tops into place.