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.
Season the chicken breast with sea salt and black pepper on both sides.
Heat olive oil in a large skillet over medium-high heat and sear the chicken until golden and cooked through, about 5-6 minutes per side.
Remove chicken from the pan, let it rest for 2 minutes, then slice into thin strips.
In the same skillet, reduce heat to medium and sauté the minced garlic for 30 seconds until fragrant.
Add the baby spinach to the skillet and toss until just wilted.
In a small bowl, whisk together the Greek yogurt, parmesan cheese, and the reserved pasta water to create a smooth sauce.
Add the cooked pasta and sliced chicken back to the skillet, pour the yogurt sauce over the top, and toss gently to coat everything evenly.
Garnish with fresh parsley and serve immediately.