In a large bowl, whisk the oil, vinegar, 1/4 cup of the cheese, 3/4 teaspoon salt, and 1/4 teaspoon pepper until smooth. Add the celery, scallions, and parsley and toss to combine. Sprinkle with the remaining 2 tablespoons of the cheese.
In a large skillet, combine the turkey and barbecue sauce and cook over medium heat until heated through, 3 to 4 minutes.
Sandwich the turkey mixture in the rolls and serve with the celery salad.
Tip: Cooked turkey stays moist longer when it’s stored unsliced. On Thanksgiving Day, try to slice only what you think your guests will eat. Leave the rest of the meat in large pieces before refrigerating.