Preheat oven to 375 degrees f.
Scoop out the flesh of zucchini and reserve for another use.
Place the zucchini boats on a rimmed baking tray, and lightly spray with cooking oil. Season with sea salt and pepper to taste, then place into the oven and bake for 15 minutes, or until crisp-tender.
In a medium bowl, combine shredded chicken, tomatoes, cucumber, olives, onions, cheese, garlic, lemon juice and zest, mint, dill, oregano, and yogurt.
Stir well, then carefully spoon this mixture into your zucchini boats.
Broil for about 5 minutes, until golden and hot.