Bring a pot of salted water to a boil and cook the chickpea pasta according to package directions, reserving 2 tablespoons of pasta water before draining.
While pasta cooks, heat olive oil in a large skillet over medium-high heat and add the chicken breast, seasoned with sea salt and black pepper.
Cook chicken for 5-6 minutes until golden and cooked through, then add the sliced zucchini and minced garlic to the skillet.
Sauté for another 3 minutes until the zucchini is tender-crisp and the garlic is fragrant.
Reduce heat to low, then stir in the cooked pasta, Greek yogurt, lemon juice, lemon zest, and the reserved pasta water to create a creamy coating.
Remove from heat and toss with grated parmesan cheese and fresh parsley before serving.