In a shallow bowl, lightly whisk together the egg, melted butter (or oil), and milk. Add in sugar, vanilla extract and matcha. Whisk until everything is combined.
If the mixture has a few lumps from the matcha powder, pour the mixture through a sieve.
Heat a frying pan over medium-low heat. Lightly grease with 1 teaspoon butter (or oil).
Dip one slice of bread into the egg mixture and flip. Press firmly on the bread to ensure it soaks up the mixture.
Place the egg-soaked bread into the frying pan and cook over low heat for 4-5 minutes (depending on how thick your bread is). Cover with a lid. Remove the lid and flip the bread. Cover and cook for another 1-2 minutes.
Repeat with the remaining slice of bread.
Serve with powdered sugar/matcha dusted on top, and/or maple syrup and berries.