Preheat the oven to 400°F (205°C). Put the ghee on a small rimmed baking sheet and put it in the oven to heat up. Let the pan with the ghee heat for 5 to 10 minutes after the oven is up to temperature so it’s very hot.
Carefully remove the hot pan from the oven, tilt it to coat the bottom with ghee, and crack the eggs onto the pan with as much space between them as possible. Sprinkle with salt and pepper. Bake until the whites are set, the edges are crisp, and the yolks are thickened, about 4 minutes. Remove the eggs from the pan with a metal spatula and serve.