Heat oil in 10-in skillet over medium heat. Add beet stems and onion and sauté until stems and onion have softened, about 5 minutes. Stir in garlic and cook for an additional minute.
Stir in beet green leaves and chicken broth and cook for 2-3 minutes, or until beet greens have softened. Stir in apple cider vinegar and salt to taste.
