Bring a large 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.
While the pasta cooks, season the chicken breast with sea salt and black pepper on both sides.
Heat the extra virgin olive oil in a large skillet over medium-high heat and sear the chicken until golden brown and cooked through, about 5-6 minutes per side.
Remove the chicken from the skillet, let it rest for 2 minutes, then slice it into thin strips.
In the same skillet, reduce heat to low and sauté the minced garlic for 1 minute until fragrant.
Whisk together the Greek yogurt, parmesan cheese, and the reserved pasta water in the skillet until a smooth, creamy sauce forms.
Add the fresh spinach to the skillet and stir until just wilted.
Fold the cooked pasta and sliced chicken back into the skillet, tossing well to coat everything in the garlic-parmesan sauce.
Garnish with chopped fresh parsley and serve immediately.