Brush lamb chops with 1 tablespoon olive oil; season with rosemary, salt, and pepper. Marinate in the refrigerator, 15 minutes to 2 hours.
Heat remaining 1 tablespoon olive oil in a skillet. Cook lamb chops until browned, 2 to 3 minutes per side. An instant-read thermometer inserted into the center should read 145 degrees F.
Combine mint leaves, 3 tablespoons extra-virgin olive oil, lemon juice, and lemon zest in a blender; blend until smooth. Drizzle over lamb chops.