Meanwhile, in a large pot of simmering water, cook the ramen noodles per package instructions. Reserve.
Add the zucchini and kimchi to the broth and simmer until tender, about 3 minutes. Add the cooked ramen to the broth and mix to combine. Divide into 6 equal portions, about 2 cups each. Garnish each portion with 1 soft-boiled egg and 1 Tbsp. sliced scallion.