In a small mixing bowl, add and mix together the butter, parmesan cheese, parsley and seasonings (salt, black pepper, and garlic powder).
Spread an even layer of the butter mixture, about 1 tablespoon, on the top and bottom halves of the burger buns. Transfer buttered buns to a large plate.
Heat a large frying pan over medium high heat. Toast the buttered burger buns in the pan until lightly golden brown, about 1 minute. Remove the toasted buns from the pan and transfer back to the large plate. Set aside. (If preferred, toasted garlic bread buns can be kept warm in the oven preheated to 200F while the patties are prepared.)
Heat up some oil (about 1 to 2 teaspoons) in a frying pan or skillet over medium high heat. In batches of 1 to 2 portions, add the ground beef into the heated pan and use a burger press or large spatula to smash into a flat patty of even thickness.
Season the patties with salt and black pepper to taste and cook for 1 to 2 minutes or longer depending on your preference.
Next, flip the patties, season with salt and pepper to taste and cook for an additional 1 to 2 minutes.
Top the cooked patties with a slice of cheese. Once the cheese is melted to desired consistency, remove the patties from the pan and transfer to a cooling rack placed over a large baking sheet. You should have (4) cooked cheese patties in total.