Cut the rack of ribs into single pieces if necessary. Trim a bit of the meat and fat to reveal more of the bone.
Marinade: Mix olive oil, grated garlic cloves, dried herbs (or chopped fresh herbs), lemon juice, salt, and pepper in a small bowl.
Dry the lamb chops with kitchen towels, place them in a baking dish or bowl.
Marinate lamb: Pour the marinade on top and rub the chops to coat them all over. Cover and marinate for 1 to 8 hours.
Remove the lamb chops from the refrigerator about 30 minutes before cooking.
Heat 1 tablespoon oil in a cast-iron skillet or a large frying pan. Depending on the size of the pan, fry the chops in batches.
Fry the lamb chops for 2 minutes per side until the internal temperature reaches 130°F/ 55°C. If you like them well-done, give them another minute (Note 3).
Let the chops rest for 5 minutes before serving.