In a small bowl, combine the minced garlic, chopped rosemary, kosher salt, black pepper, lemon zest, and rosemary olive oil. Stir until well blended and fragrant.
Arrange the lamb chops in a shallow dish or resealable plastic bag. Pour the marinade over the chops, turning them to coat evenly on all sides. Cover and refrigerate for at least 1 hour, or overnight for deeper flavor.
Place a large skillet (preferably cast iron) over medium-high heat. Add a light drizzle of olive oil and heat until shimmering.
Remove the lamb chops from the marinade, allowing excess to drip off. Place them in the hot skillet in a single layer without overcrowding. Sear for 3–4 minutes on the first side without moving to develop a golden crust. Flip and cook an additional 3–4 minutes.
Use a meat thermometer to check the internal temperature. For medium-rare, cook to 135°F. Adjust cooking time to reach your desired level of doneness.
Transfer the lamb chops to a plate and loosely tent with foil. Let rest for 5 minutes before serving to allow juices to redistribute. Serve warm with your favorite sides.