Cut and discard both ends of each zucchini. Using a potato peeler, peel the zucchini into long strips. Discard the first strip that is all peel and keep peeling until you get to the part of the zucchini that is full of seeds. Turn the zucchini and begin peeling on a new side. Keep rotating and peeling until all you have left is the center core, which can be discarded. Chop the tomatoes, basil, parsley, chives, and dill.
Zest the lemon, then juice it into a small bowl. Add the olive oil, salt, and pepper.
Place the zucchini, tomatoes, basil, parsley, chives, and dill in a large bowl. Pour the dressing over the salad, toss, and serve.