In a large pot, heat olive oil over medium-high flame. Season chicken breast with sea salt and black pepper. Add chicken to pot and cook until golden brown and cooked through then remove from pot.
While chicken cooks, dice onion, mince garlic, and set aside.
Reduce heat to medium and add butter to pot to melt. Add in thyme, garlic, onion, carrots, mushrooms, and a little more sea salt and black pepper; stirring and cooking until tender (about six minutes). Garlic should be fragrant and onions should start to turn translucent.
Add chicken back to the pot then stir in chicken broth, frozen peas, and heavy cream. Increase heat to medium-high and cover pot.
Cook until heated through and bubbly (about 15 minutes). Remove from flame and (carefully) serve hot.