Preheat your oven to 350°F (175°C) and lightly grease a 9x13-inch baking dish.
In a large bowl, combine the shredded chicken, cream of chicken soup, and sour cream until the mixture is smooth. Spread this filling evenly into the prepared baking dish.
In a separate bowl, mix the crushed crackers with the melted butter until they are well coated.
Sprinkle the buttery cracker mixture evenly over the chicken layer in the baking dish.
Bake the casserole in the oven for about 30–35 minutes, or until it is hot and bubbly with a golden-brown topping.
Allow the casserole to cool for 5 minutes before serving.