Bring a large pot of salted water to a boil and cook the whole grain penne according to package directions until al dente.
During the last 3 minutes of pasta cooking, add the broccoli florets to the boiling water to blanch them until bright green.
Reserve 1/4 cup of the pasta cooking water, then drain the pasta and broccoli.
Heat the extra virgin olive oil in a large skillet over medium-high heat and add the diced chicken breast.
Season the chicken with sea salt and black pepper, sautéing until golden brown and cooked through, about 6-8 minutes.
Lower the heat to medium-low, add the minced garlic to the skillet, and cook for 1 minute until fragrant.
In a small bowl, whisk together the Greek yogurt and grated parmesan cheese with the reserved pasta water to create a smooth base.
Add the pasta, broccoli, and yogurt mixture to the skillet with the chicken, tossing gently over low heat until the sauce is velvety and coats everything evenly.
Garnish with fresh chopped parsley before serving.