I think the best story that sounds like what you're describing is the historical fiction book "Mediterranean Hegemon of Ancient Greece" by Chen Rui. Take a Chinese Civil servant - who's probably a party cadre - who's an ancient history nerd and throw him in the body of a random Greek mercenary that died during the campaign of the ten thousand under Cyrus the Younger, and see what kind of hijinks he gets up to.
Real slow burn, the writer doesn't show too much Chinese chauvinism beyond asserting the Greek were too backwards to think of making sausages as a means of rational preservation. Beyond that the writer introduced minor technological or organizational improvements that wouldn't look too out of place from the time period instead of using his modern knowledge to drop things like gunpowder, steel, or the steam engine to try and rapidly modernize the environment he found himself in. The book primarily focuses on matters of war and governorship with minor focuses on diplomacy and religion and overall when I read it I was quite enthralled by it.