Poultry has been traded globally for years. Each individual country can not possibly produce everything it needs, making this trade a necessity. Of course, that does not mean that there hasn't been any problems. There are several past examples of poultry trade gone wrong, but as a result standards are higher, making trading less of a risk.
In 2004, China and the United States had a major rift in their chicken trades and there has been tension ever since. The initial problems were a result of the bird flu outbreaks. Following that, both countries temporarily banned the trade of poultry from one another. Soon after, China lifted their ban, but it was another two years before the U.S. followed suit. Around the same time, Thailand chicken exports were suffering because several countries refused to buy their chicken because of past outbreaks, even after the products have been inspected and deemed safe. It seems that there will always be tension over poultry trade.