Preheat oven to 375 degrees Fahrenheit (190 degrees Celsius).
Cut a horizontal pocket into the thickest part of each chicken breast without cutting all the way through.
Season the exterior and interior of the chicken breasts with kosher salt and black pepper.
Stuff each pocket with approximately 1 ounce of Brie cheese and 2 tablespoons of cranberry sauce.
Secure the pocket openings with toothpicks to prevent filling from leaking.
Heat olive oil in a large oven-proof skillet over medium-high heat.
Sear the chicken for 3 to 4 minutes per side until golden brown.
Transfer the skillet to the preheated oven and bake for 12 to 15 minutes until the internal temperature reaches 165 degrees Fahrenheit (74 degrees Celsius).
Remove from oven and let rest for 5 minutes.
Drizzle with balsamic glaze and garnish with minced fresh thyme before serving.