Preheat the oven to 400°F.
In a small bowl, stir together the butter, garlic, parsley, Parmesan cheese, and a pinch of salt and pepper.
Divide the garlic butter among the two halved rolls, spreading it on both halves. Arrange the rolls, cut side up, on a baking sheet and bake them until golden brown and lightly toasted, about 5 minutes.
Remove the rolls from the oven and set them aside.
In a medium bowl, toss together the Romaine and chicken with the prepared dressing.
Divide the salad mixture between the two toasted rolls and serve immediately.