Rinse the jasmine rice under cold water until the water runs clear.
In a pot, heat the vegetable oil over medium heat. Add the minced garlic, sliced ginger, and bruised lemongrass. Sauté for 2-3 minutes until fragrant.
Add the rinsed rice to the pot and stir to coat the rice with the oil and aromatics.
Pour in the coconut milk, water, and salt. Stir to combine.
Bring the mixture to a boil, then reduce the heat to low. Cover the pot and simmer for 15-20 minutes, or until the rice is cooked and the liquid is absorbed.
Remove the pot from the heat and let it sit, covered, for 10 minutes. Fluff the rice with a fork before serving.