Toss the edamame with the olive oil to coat in a medium bowl. In a separate small bowl, mix the Parmesan and garlic powder with some salt and pepper. Add the Parmesan mixture to the edamame mixture and toss.
Spread the edamame on a rimmed baking sheet and bake, turning once halfway through, until the cheese just starts to brown, 10 to15 minutes. Store in an airtight container.