Season the chicken with salt and pepper. Heat oil in a large skillet and sear the chicken on both sides until golden brown. Remove and set aside.
In the same skillet, add the sliced mushrooms, onions, and carrots. Sauté for 5 minutes until softened.
Pour in the chicken broth and return the chicken to the pan. Cover and let simmer for 25-30 minutes.
Stir in the heavy cream and peas. Let the sauce thicken slightly, then remove from heat.
Serve the chicken warm, spooning extra sauce over the top. Enjoy!