Preheat your oven to 425°F and prepare a large baking sheet by lining it with parchment paper to prevent sticking and encourage even roasting.
In a spacious mixing bowl, combine the thawed edamame with olive oil, kosher salt, cracked black pepper, and bright lemon zest. Toss thoroughly to ensure the pods are evenly coated with the oil and seasoning blend.
Arrange the seasoned edamame on the baking sheet in a single layer, making sure the pods are not overlapping. Roast in the hot oven for 10 to 15 minutes, or until the pods are lightly blistered and charred in spots while the beans inside turn tender.
Remove from the oven and let cool for about 5 minutes. Just before serving, sprinkle with a touch more kosher salt and, if desired, finish with a dusting of smoked paprika for a hint of smoky depth. Serve warm as a snack or appetizer.