Preheat the grill to medium-high, or 400 degrees Fahrenheit. Brush the grill grates with olive oil.
Brush the black-grouper fillets with olive oil, and then season them with coarse salt and pepper.
Place the grouper fillets, skin-side down, on the grill and grill them for four minutes on each side, or until they are opaque all the way through.
Take the grouper fillets off the grill with the grill spatula and transfer them to a serving plate. Serve them hot with lemon wedges to garnish.
Heat 3 tbsp. of olive oil in a skillet over high heat. The oil is ready when it is hot but not smoking.
Season the grouper fillets with coarse salt and pepper.
Sauté the black-grouper fillets, skin-side down, for two minutes. Then, turn the fillets and sauté them for two to three minutes more. The grouper fillets are ready when they are opaque all the way through and they flake easily with a fork.
Remove the fillets from the skillet and serve them hot as is, or topped them with a spicy salsa or sweet mango salsa.
Preheat the oven to 375 degrees Fahrenheit.
Brush the baking pan with olive oil and place the grouper, skin-side down, on the pan. Season the fillets with salt, pepper and lemon juice.
Bake the fillets for seven to 10 minutes, or until they are opaque all the way through and they flake easily with a fork.
Take the fillets out of the oven and top them with chopped parsley to garnish them. Serve the grouper with lemon wedges.