Combine the egg, milk, & vanilla extract in a shallow dish such as a pie pan. Mix well, & then dunk both sides of each Cinnabon bun half in the mixture making sure to saturate them pretty well. Melt about a tablespoon of butter in a nonstick skillet or griddle. Cook on each side until golden brown.

Serve with a dusting of powdered sugar and/or maple syrup if desired.