Lay the strips of zucchini on a flat surface such as a cutting board. Use your hands to roll each strip one at a time (lengthwise) to make a cylinder or oval shape. On a serving plate, arrange the zucchini in the prepared small rolled up shapes. Add the shallot, jalapeño, parsley and pumpkin seeds.
In a small bowl, combine the remaining ingredients and mix well to combine. Drizzle over the zucchini salad and serve. Season to taste with more sea salt and pepper, if desired.
Store leftovers for up to 3 days in the refrigerator.