Cut zucchini lengthwise into 1/4-inch-thick slices. Brush zucchini with 1 tablespoon olive oil. Sprinkle with salt. For a charcoal grill, place zucchini directly over medium coals. Grill, uncovered, for 4 to 6 minutes or until crisp-tender, turning once. (For a gas grill, preheat grill. Reduce heat to medium. Place zucchini on grill rack directly over heat. Cover and grill as above.) Set zucchini aside.