Lightly season both sides of each cube steak with salt and pepper. (See Cook's Note).
Melt 1 Tablespoon unsalted butter in a large, non-stick skillet over medium heat. Once butter is foamy, add cube steaks and sprinkle about 2 teaspoons Worcestershire sauce on top of each cube steak. Cook until brown, 3 to 4 minutes.
Turn the steaks, and sprinkle each with an additional 1 to 2 teaspoons Worcestershire sauce. Cook until steaks are firm and reddish-pink and juicy in the center, about 3 minutes more. An instant-read thermometer inserted into the center should read 135 degrees F (57 degrees C). Remove to a platter and tent with foil.
To make the pan sauce, pour about 1/2 cup water into the skillet and stir all the browned bits from the bottom of the pan. Bring to a boil and cook for about 2 minutes.
Remove from heat and stir in remaining butter, until melted.
Evenly divide pan sauce over each cube steak and serve warm.