Rinse pork chops and pat dry. Coat with olive oil and salt and pepper, as desired. Allow to rest at room temperature for at least 30 minutes prior to cooking. Insert a meat thermometer into the middle of one of the pork chops.
Heat grill to medium high. Cook pork chops for 5-8 minutes on both sides or until internal temperature reads 145 degrees F. Allow to rest for at least 10 minutes before serving.
While the pork chops are cooking, heat balsamic, rosemary, garlic, and salt in a small saucepan over medium heat. Allow balsamic to reduce by at least half, stirring occasionally. Once a thicker syrup forms, remove from heat and stir in butter to melt.
To serve, pour freshly stirred warm sauce over pork chops.