Preheat oven to 350 degrees Fahrenheit.
Heat a large skillet over medium heat. Add 1 tablespoon of olive oil, the celery, carrots, and squash. Cook vegetables for 10 minutes.
In a pie pan, add the chicken, vegetables, and green peas.
In the large skillet add the other tablespoon of olive oil and the onions, mushrooms, seasonings, and garlic. Sauté until the onions are translucent, about 3-4 minutes.
Add the tomato paste and flour to the skillet and cook until there aren't any lumps of flour. In small increments, slowly add the broth, stirring well between additions.
Stir mixture and reduce pan to medium low. Simmer until thickened. Pour over chicken and veggie mixture in the pie pan.