Set a medium nonstick skillet on the stove over medium heat and then add the oil. Once the oil looks shiny, turn the heat down to medium to medium-low. You want it warm, but not screaming hot.
2-3 teaspoons oil
Crack the eggs side by side directly into the pan, then let them sit without touching them. Season with salt and pepper.
2 large eggs, Salt & pepper
After about 1 minute, you'll notice the whites starting to turn white around the outer edges. Using your spatula, gently cut through the thicker white that's right next to the yolk and nudge it outward. Eggs have two kinds of whites. The thicker one near the yolk tends to cook slower, so cutting through it helps the egg cook evenly.
Keep cooking them on medium to medium-low heat until the whites are fully set and are no longer jiggly. (Optional: Cover the skillet with a tight-fitting glass lid so you can see what's happening without lifting it while the eggs cook. The lid traps heat and helps the whites set faster, cooking the tops of the eggs so you don't have to flip them.)
Keep an eye on the eggs, cooking them until they are done to your liking. Typically it's about 4 minutes to 6 minutes depending on how runny you like your yolks. Once the whites are fully set and look cooked through, turn off the heat and remove the eggs from the pan, sliding them on to a serving dish.
We like to serve these with toast for dipping up the runny yolks and crispy bacon or sliced fresh tomatoes when they are in season.