In a shallow dish, combine the egg, coffee creamer, brown sugar, cinnamon, vanilla extract, and salt. Whisk the mixture until it becomes smooth and frothy, then set it aside.
Heat the butter in a large nonstick skillet over medium heat, allowing it to melt completely.
Quickly dip each slice of bread into the egg mixture, soaking each side for about 5 to 7 seconds. Transfer the bread to the skillet and cook each slice for 3 to 4 minutes on each side, or until golden brown.
Serve immediately. For an extra touch, top with whipped cream, a light dusting of cinnamon, and a drizzle of caramel sauce.