Heat olive oil in a large pot over medium heat.
Add chicken and cook until browned on all sides. Remove and set aside.
In the same pot, sauté onion and garlic until fragrant.
Add mushrooms and cook until softened, about 5 minutes.
Return chicken to the pot, then pour in chicken broth and heavy cream.
Season with thyme, salt, and pepper. Simmer for 20 minutes.
Garnish with fresh parsley before serving.