I've read quite a bit of classical Chinese philosophy, and in my opinion that major piece that is directly translatable to Western concerns is the discussion of management principles. Confucian and legalist scholars recognized that statecraft was fundamentally a management problem, and they included a lot of wisdom about that sort of thing in their writings. This includes:

- One of the most important jobs of a leader is to find the talented people and give them work worthy of their talents

- Large projects start by laying a foundation which will facilitate later work

- Resource and disaster management are central problems of government

- If someone makes a bad decision, it is probably because they didn't see the value of the better decision. Instead of criticizing the path they chose, show them the superior value of the one they overlooked.