Wash zucchini and remove ends (do not peel). Cube zucchini, place in colander and sprinkle with salt. Let drain one hour.
Roast red peppers (either over flame or in a 375° oven for 18 minutes, turn once and roast an additional 18 minutes). Place pepper in a paper bag and cool. Remove skin, seed and cut peppers into thin slices.
Rinse and dry zucchini thoroughly on paper towels. Heat 1/4 cup olive oil over medium-high heat in a large skillet. Add zucchini and cook quickly, turning frequently until lightly browned. Add pepper slices and cook additional 2 minutes. Pour the cooked mixture into a sieve and drain for 10-15 minutes. Place vegetables in bowl and add remaining 1/3 cup olive oil, lemon juice, vinegar and parsley. Chill for two-three hours. Season to taste. 6 servings.