Heat olive oil in a large skillet over medium heat.
Cook the onion, carrots, and mushrooms for about 5 minutes until they begin to soften.
Add the broccoli and garlic and cook for another 2 minutes.
Sprinkle the flour over the vegetables and stir well.
Slowly whisk in the chicken broth until smooth.
Simmer for 3–4 minutes until the sauce begins to thicken.
Stir in the cooked chicken and peas.
Remove the skillet from the heat and gently stir in the Greek yogurt.
Season with thyme, parsley, salt, and pepper.
Serve immediately over your favorite starch—or enjoy it just as it is.