Preheat an oven to 350 F. Heat oil and butter together in a large, heavy, nonreactive ovenproof skillet (I like to use a cast iron). Season the chicken with salt and pepper on both sides with ¾ teaspoons sea salt.
Step 2
Sear chicken skin side down for at least 5 minutes until it is nice and brown. Flip chicken.
Step 3
Add the blueberries and cook for one minute. Then add the balsamic. Add remaining ½ teaspoon salt to the blueberry-balsamic mixture. Add the rosemary.
Step 4
Then place the whole pan into the oven and bake for 25-30 minutes until the chicken reaches an internal temperature of 165 F at the thickest part. Serve hot with blueberry sauce on top!