Pat the lamb shoulder chops dry with paper towels. Season both sides generously with salt and black pepper.
Heat 1 tablespoon of olive oil in a cast-iron skillet over medium-high heat. Add the lamb chops and sear for 4-5 minutes on each side, or until a golden-brown crust forms. Remove from the skillet and set aside.
In the same skillet, lower the heat to medium and add the remaining olive oil, minced garlic, rosemary, and thyme. Sauté for 1-2 minutes until fragrant.
Optional: Deglaze the skillet with white wine, scraping up any browned bits from the bottom.
Return the lamb chops to the skillet, spoon the garlic and herb mixture over them, and cook for another 5 minutes, or until the internal temperature reaches 145°F (63°C) for medium-rare.
Remove the lamb chops from the skillet and let them rest for 5 minutes before serving. Enjoy!
Notes
For a complete meal, serve these lamb shoulder chops with roasted vegetables, mashed potatoes, or a fresh salad. Adjust cooking time based on the thickness of the chops.