Melt the butter or ghee in a cast-iron or other large skillet over medium/high heat. Liberally season the snapper with the sea salt. Once the butter is melted, lay the snapper non-skin-side face-down in the hot skillet. Cook on this side for 3 to 4 minutes, or until the snapper develops a slight golden brown color.
Carefully flip the fish over using a large spatula and cook for an additional 4 minutes.