Preheat oven to 375°.
Gently toss prosciutto slices in olive oil. Place them individually on a silicone mat or a parchment-lined baking sheet so that they don’t overlap.
Finely chop sage into thin strips and sprinkle over prosciutto slices.
Bake until prosciutto is crisp and edges begin to curl up, about 15 minutes. Let cool.