Sprinkle chops generously on both sides with salt and pepper, then coat both sides with spice mixture, patting so it adheres.
Pour olive oil into a 12-inch ovenproof frying pan over medium-high heat. When hot, set lamb chops slightly apart in pan; cook, turning once, until well browned on both sides, 3 to 4 minutes total (take care not to scorch spices).
Transfer pan to a 325 regular or convection oven and bake until an instant-read thermometer inserted horizontally into center of lamb reaches 125 for rare, 7 to 8 minutes, or 135 for medium-rare, 9 to 10 minutes.