Preheat oven to 375°.
Heat a large, oven-safe skillet or dutch oven over medium heat, then add the coconut oil and olive oil.
Combine the flour and cilantro in a bowl, then dip each chicken breast into the mixture until coated, placing it directly into the hot skillet.
Pan-sear the chicken for 3-4 minutes per side, or until slightly browned.
Once the chicken is almost done, add the minced garlic and let it cook down for 30 seconds.
While the chicken is searing, mix the coconut milk, broth, sugar, and juice from 1 lime in a bowl.
Remove skillet from the heat, then pour the coconut milk mixture over top of the chicken.
Place the skillet into the oven and bake the chicken for 10-15 minutes, or until the chicken reaches an internal temperature of 165°.
Remove skillet from oven, and drizzle the remaining lime juice over the chicken.
Sprinkle with salt, pepper, extra chopped cilantro and chopped green onions and enjoy!