In a large, shallow dish combine the chicken broth, olive oil, basil, garlic, and black pepper. Place the lamb chops and lemon slices in the dish, turn to coat. Cover and let stand for 15-20 minutes turning occasionally.

Preheat a stove top cast iron grill pan over high heat. Remove the lamb chops and lemon slices from the marinade and place in the preheated pan. Reduce heat to medium-high and cook for 4 minutes without moving. Turn and cook for 4 minutes more, or until desired temperature. Serve immediately.