Omelet Pans. Sides are more flared than on ordinary frying pans, allowing the cooking omelet to be rolled against the side and folded. And to slide out of the pan easily. Omelet pan size. Prefer thin-egg or thick-egg omelets? A three-egg omelet cooked in a 10” pan creates a thin-egg omelet. Those same three eggs cooked in an 8" omelet pan will make a thick-egg omelet. A one-egg omelet cooked in that 8" pan will be a thin-egg omelet. And a two-egg omelet becomes a medium-egg omelet.