Gather all your ingredients to make the cooking process smoother.
Prepare the vegetables by dicing the onion, mincing the garlic, and slicing the mushrooms.
In a large pot, heat the olive oil over medium heat. Add the diced onion and sauté for about 5 minutes until translucent. Stir in the minced garlic and sliced mushrooms, cooking for an additional 5-7 minutes until tender and browned.
Add the dried thyme and rosemary, stir to combine, and cook for another minute. Pour in the chicken broth and bring to a simmer.
Add the shredded rotisserie chicken and frozen peas. Stir well and let simmer for about 10 minutes. Reduce heat to low, stir in the heavy cream, and season with salt and pepper. Heat through for another 5 minutes without boiling.
Ladle the soup into bowls and garnish with fresh parsley before serving.