This is a problem that will never be solved. The whole truth of it is that no nation likes to look bad in the eyes of others, but things each nation does with their autonomy is what usually puts them as the big bad.
Recent examples are Russia's and Uganda's stance on LGBT peoples, based purely on that dangerous kind of religious ideological thinking, when they quickly forget that The Bible is a guide to live by, when in the end of all situations, people must decide for themselves. Some people want to be sheep and not really think or decide on anything, but the smarter ones that see the big picture will always question and attempt conversation, protest and open dialogue. This kind of stuff shows any people can be taught to think like sheep.
Also recently, we've had the U.K look bad in the Assassins Creed 3. This can be tricky to take from Ubisoft, a french developer, also knowing that the french government help fund the American Revolution (AC3 history is also a little skewed). I can admit that as a nation built on empire building, I can admit that the U.K has done wrong along that path to where it is today, but the good easily outweighs the bad.
I'm afraid that the Chinese government is getting all bent out of shape for nothing. Games are a type of creative art, and in such creative endeavors, everyone and everything is fair game for critique and yes, even nations. Unfortunately, we can't all tell stories of the Warring States period of history, over and over, because those are the best bits of a nations past. From the No Russian airport scene in CoD, to the scenes of attack on the U.S, everyone gets their turn to play the bad guy in these games, even some Americanz too (see Splinter Cell). What's the point in worrying about something that's made up, than actual real events that do effect people. I'm sure most chinese people are sound good people, but the things their government sometimes do in their name raises questions more than they answer. But lets not point fingers, as every nations, like people, has their good deeds, crimes and crosses to bare.
No one person or nation is purely lily white or darkly abyss black. Best thing EA could do is reply politely, but make it clear BF while a game is also a creative work of fiction, and while in a real world setting is not to be taken as real world fact. Frankly, while China is becoming the economic big boy, I'm disliking the sour pandering to wallets, to please them that's going on in some media, especially with regards to big Hollywood films etc (eg Red Dawn, Iron Man 3).