Prepare Chicken: Season the chicken breasts with salt and pepper on both sides.
Cook Chicken: In a large skillet, heat the olive oil over medium-high heat. Add the chicken and cook until golden brown on both sides and cooked through, about 5-7 minutes per side. Transfer the chicken to a plate and cover to keep warm.
Make the Sauce: In the same skillet, reduce the heat to medium. Add the pomegranate juice, orange juice, orange zest, and cornstarch (dissolved in the chicken broth) to the pan, whisking to combine. Stir in the honey and thyme. Cook, stirring frequently, until the sauce thickens, about 5 minutes.
Combine: Return the chicken to the skillet, spooning the sauce over the chicken to coat. Cook for an additional 2-3 minutes, ensuring the chicken is heated through and well coated with the sauce.
Serve: Transfer the chicken to serving plates. Drizzle with any remaining sauce from the skillet. Garnish with pomegranate seeds, fresh thyme leaves, and chopped parsley.