In a small bowl, melt the butter and then stir in the minced garlic.
Brush the garlic butter evenly over each asparagus spear, ensuring they are well coated.
Take a half slice of prosciutto and wrap it around an asparagus spear, starting from the bottom and spiraling up to the top. The prosciutto should adhere to itself, creating a snug wrap.
Repeat the wrapping process with the remaining asparagus spears and prosciutto slices.
Cook the wrapped asparagus in a preheated skillet over medium heat for about 2-3 minutes per side, or until the prosciutto is crispy and the asparagus is tender.