Cut zucchini into noodle-shaped strands using a spiralizing tool. Place "zoodles" in a large bowl and top with cucumber, tomatoes, olives, red onion, and feta cheese.
Whisk olive oil, lemon juice, oregano, salt, and pepper together in a bowl until dressing is smooth; pour over "zoodle" mixture and toss to coat.
Marinate salad in refrigerator for 10 to 15 minutes.