Heat oil in a saucepan over medium-low heat. Saute mango and ginger until fragrant, 2 to 3 minutes. Add rice and saute, stirring often, until rice appears translucent, about 5 minutes. Pour in water and salt; bring to a boil. Reduce heat and cover; cook until water is absorbed, about 20 minutes.
Transfer hot rice to a serving dish and top with green onions and cilantro.