Preheat your oven to 350°F (175°C). Lightly grease a 9×13-inch baking dish with a thin coat of butter or nonstick cooking spray to keep the sliders from sticking.
Without pulling the rolls apart, use a long serrated bread knife to slice the entire sheet of rolls in half horizontally, like a big sandwich bun. Go slowly and keep one hand on top for control.
Set the bottom half of the rolls, cut side up, into the prepared baking dish. They should fit snugly so they bake together as pull-apart sliders.
In a small bowl, stir together the mayonnaise and 1 tablespoon yellow or Dijon mustard. Spread this mixture evenly over the cut side of the bottom rolls to add flavor and keep the bread from drying out.
2 tablespoons mayonnaise, 1 tablespoon yellow or Dijon mustard
Arrange the sliced ham evenly over the bottom rolls. Fold each slice in half and gently ruffle it so every bite has some height and texture, making sure the ham reaches the edges.
12 ounces thinly sliced deli ham
Layer the Swiss cheese slices over the ham, covering as much surface area as possible. It’s fine if the slices overlap slightly; they will melt into one even layer.
8 to 10 slices Swiss cheese
Place the top half of the rolls over the cheese, lining them up with the bottom sheet. Gently press down so the layers settle together.
In a small bowl, whisk together the melted butter, Worcestershire sauce, Dijon mustard, brown sugar, onion powder, garlic powder, poppy seeds, salt, and pepper until the sugar mostly dissolves and the seasonings are evenly mixed.
1/2 cup unsalted butter, 1 tablespoon Worcestershire sauce, 1 tablespoon Dijon mustard, 1 tablespoon brown sugar, 1 teaspoon onion powder, 1 teaspoon garlic powder, 1 tablespoon poppy seeds, 1/2 teaspoon kosher salt, 1/4 teaspoon freshly ground black pepper
Using a pastry brush or spoon, generously brush the buttery glaze over the tops of the sliders, making sure each roll is well coated. If there is extra glaze, pour it slowly over the nooks and crannies.
Let the assembled sliders sit at room temperature for about 10 minutes so the buttery mixture can soak into the rolls for more flavor.
Cover the baking dish tightly with aluminum foil. Bake for 15 minutes, covered, so the cheese melts and the sliders heat through without the tops burning.
Remove the foil and bake for another 5–8 minutes, or until the tops are lightly browned and the cheese is bubbling at the edges. Watch closely toward the end, as ovens vary.
Let the sliders cool for about 5 minutes. Use a sharp knife or spatula to cut along the lines between the rolls. Serve warm as a party appetizer, game day snack, or easy family dinner.