After boiling the liquid from the chicken (after about 25-30 minutes), add the sliced zucchini, dried Basil (1-2 tsp to taste) and salt (about 1/3 tsp) and mix.
If there is a lot of water left in the chicken, drain the excess water BEFORE adding the zucchini, as the zucchini will still give off the liquid.
Simmer under the lid for 5-7 minutes, until the zucchini is slightly softened (should be al dente).