Preheat oven to 375 degrees.
In a saucepan over medium-high heat, add chicken, buffalo dry rub, buffalo sauce, chicken broth and butter. Bring to a boil, then reduce heat to low, cover and simmer for 12 to 15 minutes, or until chicken reaches an internal temperature of 165 degrees.
Using two forks, shred the chicken.
Slice brioche slider rolls in half widthwise and place bottom halves in a baking dish.
Top roll bottoms with chicken mixture, then cheese. Place top half of slider buns on top.
Optional: Mix together melted butter and parsley and brush onto tops of buns.
Bake for 10 to 12 minutes, until tops are golden brown and cheese is melted.