An egg cooker includes a base band shaped to be placed on a cooking surface. A cover is connected to the base band. A tunnel within the cover is sized to allow contents of an opened egg to be poured through the tunnel and onto the cooking surface. A length of the tunnel is selected so that when the cover is mounted on the cooking surface, a base at a bottom of the tunnel is elevated over the cooking surface to a height that allows a white of the opened egg to pass under the base of the tunnel to the cooking surface under the cover, while retaining a top of a yolk of the opened egg within an inside circumference of the tunnel.