Place pan over medium heat, and allow it to come up to temperature for 2-3 minutes.
Add one tablespoon of butter to the pan and allow it to melt. Add both pieces of bread to the melted butter and allow them to get golden brown, about three minutes. Remove them from the pan and place them on a work surface, toasted side up.
Add the slice of American cheese to one piece of bread. Evenly spread the jam on the cheese and top with the Gruyère and cheddar cheese. Then place the other piece of bread on the sandwich, toasted side against the cheese.
Add a half tablespoon of butter to the pan and let it melt. Then add half of the Parmesan cheese to the melted butter.
Place the sandwich directly on top of the butter and cheese, then place the burger press on top of the sandwich and allow it to cook for 3-4 minutes or until lightly crispy and golden brown.
Remove the sandwich from the pan. Add the remaining butter to the pan and let it melt, then add the remaining Parmesan cheese to the melted butter. Flip the sandwich and place it on the melted butter and cheese, previously browned side up. Place the burger press back on the sandwich for an additional 3-4 minutes or until golden brown.
Remove sandwich, slice in half, and serve.
Notes
I grew up eating grilled cheese sandwiches that consisted of a single slice of American cheese “product”—you know the ones, individually wrapped in plastic—yeah those; melted between two pieces of white bread. It doesn’t get much more simple than that, and that comfort food was delicious alongside a bowl of tomato soup straight out of the can. I think those fond memories are mostly because I didn’t know any better.