Place one sheet of parchment on a cutting board, lay the chicken tenders on top, cover with a second sheet of parchment, and pound each tender to about 1/4-inch thickness using a rolling pin or meat mallet.
Season both sides of the pounded chicken with salt and pepper.
Pour the wing sauce over the chicken, reserving 3 tablespoons for assembling the sliders, then refrigerate and let the chicken marinate for at least 15 minutes.
Preheat a grill or grill pan to medium and lightly grease the grate or pan. Grill the chicken 3–5 minutes per side, until cooked through and internal temperature reaches 165°F, then transfer to a plate and tent loosely with foil.
Turn your oven broiler to high. Split the dinner rolls and spread the cut sides with the softened butter. Place cut-side up on a baking sheet and broil 1–2 minutes until lightly browned.
Assemble each slider: bottom roll, about 1 tablespoon ranch dressing, half a chicken tender, about 1 teaspoon of the reserved wing sauce, 1 tablespoon crumbled blue cheese, then the top roll.
Repeat to make the remaining sliders and serve immediately.