Prepare outdoor grill, using a grill pan or fish basket. Place the asparagus on a wide platter or pan and drizzle with olive oil. Toss to lightly coat the asparagus with the oil, then season lightly with pepper and kosher or garlic salt. Grill asparagus in pan or basket set 5 to 6 inches over glowing coals until tender, 3 to 5 minutes on each side, turning frequently to check. Remove from grill; sprinkle with Parmesan cheese before serving.