Olive Oil-Fried Eggs

Pour 1/8 inch of oil into a small skillet. Heat over medium-high until shimmering, about 1 minute. Crack eggs into skillet; season with salt. Cook, tilting skillet slightly and spooning oil over eggs repeatedly, until whites are puffed slightly, crisp and golden brown along edges, and just set but yolks are still wet, about 2 minutes.