Preheat oven to 350 degrees.
Cut the rolls in half. Remove top of rolls.
Mix together the mayo and herbs in a small bow and slather on bottom half of rolls.
Lay out the ham covering the bottom rolls as much as possible. Repeat with American cheese, turkey, and Gouda.
Add the top of the buns.
Pour melted butter on top of sliders then sprinkle with Parmesan cheese.
Cover with foil. Bake 20 minutes until cheese completely melts. Remove foil, bake another 3-5 minutes until tops of rolls are golden.