Heat 1 tbsp olive oil in a large heavy skillet over medium-high heat. Add turkey, spread flat, and do not stir for 3 minutes. Break apart and cook until no pink remains, about 5 to 6 minutes total. Season with half the spices. Remove turkey and set aside.
Add remaining olive oil. Cook onion over medium heat 3 minutes. Add garlic and red pepper flakes, cook 1 minute.
Increase heat to medium-high. Add zucchini, season with salt, and cook 2 minutes without stirring. Toss and cook 2 more minutes until edges are golden and zucchini is just tender.
Add cherry tomatoes and cook 1 to 2 minutes until just softened.
Return turkey to the pan. Add broth and remaining spices. Stir and cook 2 to 3 minutes until broth reduces into a light coating sauce. Taste and adjust seasoning.
Serve with fresh parsley, lemon wedges, and optional feta or parmesan over the top.