For the brine (optional):
3 cups cold water, divided
3 tablespoons coarse kosher salt (or 2 1/2 tablespoons table salt)
Optional flavorings: 2 smashed garlic cloves, 1/2 teaspoon black peppercorns, 1 bay leaf
For the pork chops:
2 to 4 pork chops — center cut, bone-on, 3/4-inch to 1-inch thick (about 1 pound each)
Brine the pork chops (optional): Bring 1 cup of the water to a boil, add the salt and optional flavorings, and stir to dissolve the salt. Add 2 more cups of cold water to bring the temperature of the brine down to room temperature. Place the pork chops in a shallow dish and pour the brine over top. The brine should cover the chops — if not, add additional water and salt (1 cup water to 1 tablespoon salt) until the chops are submerged. Cover the dish and refrigerate for 30 minutes or up to 4 hours.
Heat the oven and skillet: Position a rack in the middle of the oven and preheat to 400°F. Place the skillet in the oven to preheat as well.
Remove the chops from the brine; if you didn't brine, remove the chops from their packaging. Pat dry with paper towels. Rub both sides with olive oil, then sprinkle with salt and pepper. Set the chops aside to warm while the oven finishes heating.
Remove the hot skillet from the oven and set it over medium-high heat on the stovetop.
Sear until the undersides of the chops are seared golden, 3 minutes.
Flip the chops and transfer the skillet to the oven.
Roast until the pork chops are cooked through and register 140°F to 145°F in the thickest part of the meat with an instant-read thermometer. Cooking time will be 6 to 10 minutes depending on the thickness of the chops, how cool they were at the start of cooking, and whether they were brined. Start checking the chops at 6 minutes and continue checking every minute or two until the chops are cooked through.
Rest the chops: Transfer the cooked pork chops to a plate and pour any pan juices over the top (or reserve for making a pan sauce or gravy). Tent loosely with foil and let the chops rest for at least 5 minutes before serving.