Heat oil in a medium saucepan over medium heat. Cook, stirring often, until golden brown, about 4 minutes. Add coconut milk, salt, and 1 ½ cups of water and stir to combine.
Bring to a boil; reduce heat, cover, and simmer until brown rice is tender and liquid is evaporated, about 35 minutes.
Keep covered and let sit for 10 minutes. Fluff with a fork and serve with Thai Coconut Chicken Curry or your favorite entree!