Bring a large pot of salted water to a boil and cook the brown rice fettuccine according to package directions until al dente.
Reserve 0.25 cup of the starchy pasta water before draining the noodles.
Season the chicken breast with sea salt and black pepper, then sear in a skillet with ghee over medium-high heat until golden and cooked through.
Remove the chicken from the skillet to rest, then slice into thin strips.
In the same skillet, sauté the minced garlic for 30 seconds until fragrant, then reduce heat to low.
Whisk in the Greek yogurt, parmesan cheese, and reserved pasta water until a smooth, creamy sauce forms.
Steam the broccoli florets until tender-crisp.
Toss the cooked pasta, sliced chicken, and broccoli into the sauce until well-coated.
Garnish with fresh parsley and serve immediately.