Preheat oven to 350°F.
Chop celery and carrots. Heat a drizzle of olive oil over medium high heat in a cast iron skillet. (or oven safe skillet--if you don't have one, that is ok, you can transfer to a baking dish before cooking biscuits)
When oil is hot and glistening, add in carrot and celery and sauté until celery is soft. Add another drizzle of olive oil and add chicken. Cook chicken over medium high until cooked through and 165°F internal temperature.
In a small mixing bowl, whisk together cream of chicken soup, milk and seasonings. When chicken is cooked through, set heat to low and stir in soup mixture to coat evenly.
Remove pan from heat and place 6-8 biscuits over top of the chicken mixture, allowing space around the edges of the biscuits. (If your skillet isn't oven safe, transfer to a baking dish. Brush the top of each biscuit with melted butter.
Bake at 350°F for about 25 minutes or until the biscuits are golden brown and baked through. If the tops become brown too quickly, you can loosely lay foil over top of the skillet and bake until biscuits are done.
Cool for 5 minutes before serving.