Preheat your oven to 350°F (175°C).
In a large mixing bowl, combine the bread cubes, chopped celery, and onion.
In a separate bowl, mix the melted butter, chicken broth, sage, thyme, salt, and pepper.
Pour the butter mixture over the bread mixture and stir until well combined.
Add the shredded chicken and mix gently until the chicken is evenly distributed.
Transfer the mixture to a greased 9x13-inch baking dish.
Cover the dish with aluminum foil and bake for 25 minutes.
Remove the foil and bake for an additional 10 minutes, or until golden brown.
Let it cool slightly before serving.
Enjoy your delicious chicken and dressing casserole!