Meanwhile, in a large skillet, cook the sausage, breaking it up, over medium heat until no longer pink, about 7 minutes. Using a slotted spoon, transfer the sausage to a plate. Add the zucchini to the skillet and cook until tender, about 4 minutes. Return the sausage to the skillet, add the remaining 1 cup chicken broth and 1/2 cup water and cook, stirring, until heated through, about 2 minutes.