Bake cornbread according to package directions. Cool and crumble into a large bowl.
Preheat oven to 375 degrees F (190 degrees C). Heat oil in a large skillet over medium-high heat. Cook sausage until brown and crumbly, remove from the skillet but keep the oil in the pan. Add onions, apples and celery; cook stirring occasionally until tender, about 5 minutes.
Toss the cooked mixture and the sausage into the bowl with the crumbled cornbread. Stir in the chicken broth and melted butter. Season with parsley, sage, thyme, rosemary salt and pepper. Blend well and press into a 9x13 inch baking dish.