Beat together eggs with a pinch of salt.
Dip brioche slice into egg and let it soak for 10 seconds at least. Turn over, repeat with other side.
Melt some butter in a nonstick pan.
Add egg-soaked brioche. As the bottom side is cooking, scatter the top side with grated parmesan. Let it remain undisturbed so that the cheese will melt and stick to the bread. Add more butter if pan gets too dry.
When other side of brioche is cooked, turn over and cook. Now the parmesan coating will be in contact with the hot pan, allowing it to crisp up, yum!
Serve with peanut butter, honey and even more butter mwahahahaha