Gyeran Mari Korean Rolled Omelette

In a medium bowl, whisk the eggs thoroughly. Add water or milk, salt, and optional sugar. Continue whisking until the mixture is well combined and slightly frothy. Ensure no egg white streaks remain.

Stir in the finely minced carrot and chopped green onion into the egg mixture. Mix gently to distribute the vegetables evenly throughout the eggs. You can also add other finely chopped vegetables like bell peppers or zucchini.

Heat a non-stick rectangular or round pan (about 8-10 inches) over medium-low heat. Lightly grease the pan with a small amount of cooking oil, wiping off any excess with a paper towel. Maintaining a low heat is crucial for slow cooking and easy rolling.

Pour about 1/4 of the egg mixture into the hot pan, tilting the pan to spread it thinly and evenly across the bottom. Let it cook until the bottom is set but the top is still slightly wet and jiggly. This will take about 1-2 minutes.

Once the egg is partially set, use a spatula or chopsticks to gently roll the cooked egg layer from one end of the pan to the other, creating a tight log. Push the rolled egg to one side of the pan, leaving space for the next layer.

Lightly grease the empty part of the pan if needed. Pour another 1/4 of the egg mixture into the pan, making sure some of it seeps under the rolled egg log. Cook until partially set, then roll the existing log over the new layer, incorporating it into the growing omelette. Repeat this process with the remaining egg mixture until all layers are rolled.

Once all the egg mixture is used and the omelette is a thick log, cook it for another minute or two, gently pressing down to ensure it's cooked through. Transfer the Gyeran Mari to a cutting board. Let it cool for a few minutes, then slice it into 1/2 to 1-inch thick pieces. Serve warm or at room temperature.