Preheat the oven to 425°F (220°C).
Heat a 12-inch oven-safe skillet over medium-high heat and add the 2 tablespoons unsalted butter until melted.
Place the 5 chicken thighs skin-side down in the skillet and cook for 3–4 minutes until the skin is browned and crispy.
Flip the chicken and cook 2 more minutes, then remove the thighs from the skillet and set them aside on a plate.
Add 1 cup chicken stock, 1/2 cup coconut cream, 1 teaspoon minced fresh ginger, 1 pinch red pepper flakes, and 3 tablespoons fresh lime juice to the skillet and whisk over medium heat until combined and beginning to simmer.
Return the chicken to the skillet, skin-side up, and transfer the skillet to the preheated oven. Bake about 20 minutes, until the internal temperature reaches 165°F (74°C).
If you prefer extra-crispy skin, switch the oven to high broil and broil the chicken 1–2 minutes until golden, watching closely to avoid burning.
Remove from the oven and serve warm.