Stir in minced garlic and cook for 1 minute until fragrant.
Sprinkle the flour over the mushroom mixture and cook for 1 minute, stirring constantly.
Slowly pour in the chicken stock, whisking constantly to prevent lumps from forming.
Add the fresh thyme, bay leaves, and the shredded rotisserie chicken. Bring to a simmer.
Reduce heat to low. Temper the cream by ladling a small amount of hot broth into it, then slowly pour the mixture back into the pot, stirring constantly.
Let the soup simmer gently for 15-20 minutes, avoiding a boil. Season generously with salt and pepper to taste.
Remove the bay leaves and thyme sprigs. Serve hot, garnished with fresh parsley.