Preheat your oven to 250ºF (120ºC).
In a large bowl, melt the butter. Add minced garlic, salt, and pepper, and mix well.
Dredge each pork chop in the butter mixture, ensuring they're evenly coated. Place them on a baking sheet with a rack to allow air circulation.
Bake the pork chops for 35-40 minutes or until the internal temperature reaches 110ºF (43ºC). This slow baking process helps to cook the pork chops evenly.
Once the pork chops reach the desired internal temperature, remove them from the oven. In a large cast iron skillet, heat olive oil over high heat until it begins to smoke.
Carefully place the pork chops in the hot oil. Sear each side for about 1 minute or until nicely browned. Add 2 sprigs of rosemary and 2 tablespoons of butter, then baste the pork chops with the butter.
Once both sides are seared, remove the pork chops from the pan and allow the excess butter and oil to drip off. Set the pork chops aside to rest while you make the pan sauce.
Pour off any excess oil from the skillet, but keep the flavorful browned bits in the pan. Over medium heat, deglaze the skillet by adding chicken or vegetable broth, scraping up any browned bits from the bottom of the pan.
Thicken (Optional): If you like, you can thicken the sauce by whisking in a tablespoon of flour. Simmer until the sauce thickens slightly.
Taste the sauce and season it with salt and pepper if needed. Serve the pork chops with the pan sauce.