Heat the oil in a pan over medium heat and cook the garlic stalk until tender. Salt and pepper to taste.
Place puff pastry sheet on a baking tray lined with parchment paper. Sprinkle the cheese on top. Place fiddleheads and asparagus decoratively. Top with garlic stalk.
Bake in a preheated 400F the cheese has melted and the puff pastry is golden, about 20 minutes.