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 the pasta cooks, steam the broccoli florets until tender-crisp and bright green.
Season the chicken breast with the sea salt and black pepper.
Heat olive oil in a large skillet over medium heat and cook the chicken until golden brown and cooked through, about 5-6 minutes per side.
Remove chicken from the pan and let it rest for 2 minutes before slicing into thin strips.
In the same skillet, add the minced garlic and sauté for 30 seconds until fragrant.
Turn the heat to low and whisk in the Greek yogurt, parmesan cheese, and reserved pasta water to create a smooth sauce.
Toss the cooked pasta, steamed broccoli, and sliced chicken into the skillet until well coated in the creamy sauce.
Garnish with chopped fresh parsley and serve immediately.