Preheat the broiler.
Start by crushing some garlic and heating it in some olive oil in a medium nonstick saute pan on the stove. While that is heating up, very thinly slice the zucchini on a mandoline. When the oil and garlic are heated, tear some basil into the pan and add all the sliced zucchini. Cook until the zucchini is tender, but not cooked through, about 2 minutes. Season with salt and pepper.
Pour the egg mixture into saute pan and let it sit for 1 minute. When there isn't much loose egg left in the pan, grate some Parmesan on top and place pan in the broiler for 1 minute.
Take pan out of broiler, let it cool and set in pan for 5 minutes. When cool invert a plate on top of pan and turn over. Slice and serve.