Slice the chicken breasts in half horizontally. Place the chicken in between two pieces of parchment paper and pound with the flat side of a mallet until each piece is about 1 inch thick. Preheat the oven to 375° F.
Heat a saucepan with olive oil on medium-high heat. Sauté the garlic and shallot for 1-2 minutes, until fragrant. Add the coconut milk, lemon zest, lemon juice from one lemon, oregano, thyme, red pepper flakes, salt and pepper. Reduce the heat to medium-low and simmer while you cook the chicken.
While the sauce is simmering, heat a large cast iron skillet with olive oil on medium-high heat. Sear the chicken on both sides for 3-4 minutes.
Add the mushrooms to the pan with the chicken, pour the cream sauce into the pan and place in the oven for 8 minutes. Add the peas and bake 2 more minutes. Garnish with fresh thyme and serve. These Roasted Potatoes make the best side!