Preheat the oven to 375°F (190°C).
Heat olive oil in a large oven-safe skillet over medium-high heat.
Season the chicken thighs with salt and pepper, then place them skin-side down in the skillet.
Cook the chicken for about 5-7 minutes until golden, then flip.
Add the apple slices to the skillet, cooking for another 3-4 minutes until tender.
Pour in the apple cider and gently scrape the bottom of the skillet to deglaze.
Stir in the heavy cream and thyme, then bring to a gentle simmer.
Return the chicken to the skillet, skin-side up, and transfer to the oven.
Bake for 25-30 minutes, or until the chicken is cooked through.
Remove from the oven and let it rest for a few minutes before serving.
Garnish with fresh parsley and serve hot.