Preheat oven to 400 degrees F.
In a large cast iron skillet or oven-safe skillet over medium heat, add ½ tablespoon oil. Season chicken with ½ teaspoon salt and ¼ teaspoon pepper and add to skillet. Cook 3 to 4 minutes, moving occasionally, until there is not more pink visible on the outside of the chicken. Remove from skillet and set aside.
Add remaining ½ tablespoon oil to the skillet. Add onion, sweet potatoes, carrot, brussels sprouts, ½ teaspoon salt, ¼ teaspoon pepper, thyme, sage, and rosemary and cook, stirring occasionally, 4 to 5 minutes until vegetables soften.
Add ¼ cup of broth and deglaze pan, scraping up any brown bits. Add remaining ¾ cup broth and mix well, bring up to a simmer.
Add back chicken and mix well. Add fruit and mix well. Add walnuts to the top of the mixture. Turn off heat and cover skillet with foil.
Place skillet in oven for 15 minutes. After 10 minutes, remove foil.
Optional: broil on hi for 1 to 2 minutes at the end to desired level of golden brown.
Mix well before serving.
Optional: serve with wild rice and fresh chopped sage.