Slice green onions and set a few aside for garnish
In a large sauce pan, over medium heat, combine chicken broth, green onions, ginger and garlic. Bring to a boil and simmer for 5 minutes. Strain and remove green onions and garlic if desired.
Add in frozen wontons and cook according to directions on package, about 8 minutes probably.
Two minutes before done cooking, add in cabbage or add it in when you remove soup from the heat for a crunchier texture.
Remove soup from heat an add in sesame oil. Stir to combine and serve
Garnish with reserved green onion and toasted sesame seeds.