Cut the chicken into bite-sized pieces and season with salt and pepper. Set aside.
Cook the wild rice according to package instructions, typically 45-60 minutes.
In a large skillet, heat olive oil over medium heat. Sauté the onion for 5 minutes until translucent.
Add minced garlic and sliced mushrooms. Cook for 5-7 minutes until mushrooms are browned.
Add chicken pieces, thyme, rosemary, salt, and pepper. Cook for 7-10 minutes until chicken is browned and cooked through.
Pour in chicken broth and simmer for 5 minutes.
Stir in heavy cream and cooked wild rice. Simmer for 5 minutes.
Add frozen peas and cook for an additional 2-3 minutes. Garnish with parsley before serving.