Place a medium heavy-bottom pot over medium-high heat with the oil. Add the carrots, ginger and garlic to the pot and cook, stirring frequently, until the ginger and garlic are aromatic, about 2 minutes. Add the chicken broth and bring the liquid up to a bubble.
Once the broth is boiling, reduce the heat to medium-low and add the potstickers. Simmer them, stirring gently, until heated through, about 5 minutes. Stir in the soy sauce.
Serve the soup garnished with scallions and chow mein noodles.
Wait to add the soy sauce just before serving. Different chicken broths have different amounts of salt added, so taste it to make sure it needs the added kick.