Place the lamb chops in a baking dish and sprinkle with 2 tablespoons of olive oil, salt, pepper and red pepper flakes. Pat down with your hands to make sure the condiments get into the meat. Top with a few tablespoons of fresh parsley.
Cover and refrigerate for at least 30 minutes and up to 4 hours. Heat 2 tablespoons of olive oil in a large skillet over medium heat. Add the chops to the skillet and cook for about 3 minutes per side for medium-rare.
Add the chops back to the baking dish in one single layer, top with Roma cherry tomatoes and minced garlic. Bake for 10-15 minutes for medium well, and less for medium.
In the meantime cook pasta based on box directions. Once pasta is done heat 2 tablespoons of olive oil in a large skillet, add the drained pasta, Roma cherry tomatoes, marinara sauce, basil and salt and pepper to taste. Cook for 3-4 minutes only.
Remove lamb chops from the oven, top with the remaining fresh parsley and serve over pasta.