Wash and dry the zucchini thoroughly, then use a vegetable peeler or mandoline to slice them lengthwise into thin, flexible ribbons.
Place the zucchini ribbons in a large bowl, separating any pieces that stick together so the dressing can coat them evenly.
Whisk olive oil, lemon juice, lemon zest, a pinch of salt, and black pepper in a small bowl until the mixture becomes slightly emulsified.
Pour the dressing over the zucchini and toss very gently with clean hands or salad tongs to avoid tearing the delicate ribbons.
Add chopped basil and parsley, then toss once more so the herbs are distributed throughout the salad.
Scatter shaved Parmesan and toasted almonds over the top just before serving so both ingredients retain their texture.
Taste and adjust the lemon, salt, or pepper as needed, then serve immediately while the zucchini is still crisp.