Bring a pot of salted water to a boil and cook the chickpea pasta according to package directions, reserving 0.25 cup of pasta water before draining.
Steam the broccoli florets until they are bright green and crisp-tender, then set aside.
Heat olive oil in a large skillet over medium-high heat, add the chicken breast pieces seasoned with sea salt and black pepper, and sauté until golden and cooked through.
Reduce the heat to low, add the minced garlic to the skillet, and cook for 1 minute until fragrant.
Whisk together the Greek yogurt, parmesan cheese, and reserved pasta water in a small bowl until smooth.
Add the cooked pasta, steamed broccoli, and yogurt mixture to the skillet with the chicken, tossing everything together until the sauce is creamy and coats every piece.
Garnish with fresh parsley and serve immediately.