Preheat the oven to 350°F (175°C) and lightly grease a 9x13-inch baking dish.

In a large mixing bowl, combine the stuffing mix with the melted butter, tossing until the crumbs are evenly coated.

Spread half of the buttered stuffing mixture into the bottom of the prepared baking dish in an even layer.

In a separate bowl, whisk together the condensed cream of chicken soup, sour cream, chicken broth, and black pepper until smooth.

Stir the shredded chicken into the soup mixture until thoroughly combined.

Pour the chicken mixture over the stuffing layer in the baking dish, spreading it to the edges.

Sprinkle the remaining stuffing mix evenly over the top of the chicken layer.

Bake for 30 to 35 minutes until the stuffing is golden brown and the sauce is bubbling at the edges.