Spiral slice the zucchini according to manufacturer's instructions of the spiralizer you're using. Place two layers of paper towels on a platter or plate and lay the zucchini noodles out on the paper towels. Sprinkle evenly with salt and allow to sit for 20 minutes or so until zucchini releases moisture, which the paper towel should absorb.
Heat a large skillet over medium heat with olive oil until hot. Dry the top of the zucchini with paper towels to remove as much moisture as possible and then transfer to the hot skillet and cook, stirring occasionally, until tender and dry, about 5 minutes. Pepper, to taste. Serve immediately.