Pat the scallops very dry with paper towels; remove any remaining side muscle if needed.
Season both sides of the scallops with 1/4 teaspoon salt and 1/4 teaspoon freshly ground black pepper.
Heat a large skillet over high heat and add the coconut oil; wait until the oil is shimmering but not smoking. If it begins to smoke, briefly remove the pan from the heat to cool slightly.
Arrange the scallops in the hot skillet in a single layer so they are not touching.
Sear the scallops without moving them for about 2 minutes, until a golden crust forms, then flip and sear the other side about 2 minutes more; scallops should be golden outside and slightly firm with a touch of translucency in the center.
Transfer the scallops to a plate and serve immediately with lemon wedges and your choice of vegetables or pasta.