Wash the beans and remove the stem ends. Cook in a saucepan or skillet with enough water to cover for 20 minutes. Drain well.
Preheat the oven to 350 degrees.
In an ovenproof baking dish, combine the olive oil, red wine vinegar, garlic, salt, pepper, and oregano. Stir with a fork or whisk until well combined. Add the drained green beans and toss to coat.
In a small bowl, combine the melted butter and bread crumbs, mixing well. Sprinkle the bread crumb mixture and Parmesan cheese over the green beans.