Bring a large pot of salted water to a boil and cook the whole wheat penne according to package directions until al dente.
During the last 3 minutes of pasta cooking, add the broccoli florets to the pot to blanch them until bright green and tender.
While pasta cooks, season the chicken breast with sea salt and black pepper.
Heat olive oil in a large skillet over medium-high heat and sear the chicken for 5-7 minutes per side until fully cooked, then remove and slice into strips.
In the same skillet, lower the heat to medium and sauté the minced garlic for 1 minute until fragrant.
Whisk in the Greek yogurt and parmesan cheese, adding a splash of pasta water if needed to reach a smooth, creamy consistency.
Drain the pasta and broccoli, then toss them into the skillet with the sauce and sliced chicken.
Garnish with fresh parsley and serve immediately.