Preheat the oven to 425°F (220°C).
Heat a 12-inch oven-safe skillet over medium-high heat and add 2 tablespoons unsalted butter. Melt the butter and let it foam.
Add the 5 chicken thighs to the skillet skin-side down. Cook 3–4 minutes, until the skin is browned and crispy. Flip the chicken and cook 2 more minutes. Transfer the chicken to a plate and set aside.
Add 1 cup chicken stock, ½ cup canned coconut cream, 1 teaspoon minced fresh ginger, 1 pinch red pepper flakes, and 3 tablespoons fresh lime juice to the skillet. Whisk over medium heat, scraping up any browned bits, until the mixture is combined and begins to simmer.
Return the chicken to the skillet, placing the pieces skin-side up. Transfer the skillet to the preheated oven and bake for about 20 minutes, or until the internal temperature of the chicken reaches 165°F (74°C).
If you want extra-crispy skin, switch the oven to broil on high and broil the chicken 1–2 minutes, watching closely, until the skin is golden brown.
Remove the skillet from the oven and serve the chicken warm.