Preheat oven to 375°. Bring a large pot of water to boil. Add salt and chard stems. Boil until stems are tender to the bite, 10 to 15 minutes. Drain and set aside.
Rub a medium-size shallow baking dish with the cut sides of the garlic clove halves. Butter the dish and then put in the chard stems. In a sealable plastic bag, mix bread crumbs, parmesan, and 1 tbsp. butter. Sprinkle mixture on stems. Cook until top is browned and crisp, about 15 minutes. Serve hot or warm.
Note: Nutritional analysis is per serving.