Add garlic, oregano, salt, and pepper. Rub over chops evenly.
Allow meat to sit in marinade at least 15-20 minutes on kitchen counter before cooking.
Set griddle to med-high/high heat. Spread a tbsp or two of butter over griddle and place lamb chops in butter to sear. Cook time will vary on griddle temp, thickness of chops and meat temperature preference. I like medium to medium well lamb.
Flip chops to sear other side, adding butter if needed. Turn griddle to medium low to finish cooking. I cook my one inch chops from room temperature for about 3-4 minutes per side.
Allow lamb chops to rest on a dish with a tbsp or two of butter spread out on the dish before eating. This will give you lots of delicious dipping juices to enjoy each slice with!