Dallas ZIP codes starting ā752__ā However, the surrounding suburbs have their own codes even when they touch Dallas proper. You really need to use the actual address including the city name if it is not Dallas. It could be Farmers Branch, Carrollton, Coppell, Irving, Richardson, Garland, Mesquite, Red Oak, Desoto, Duncanville, etc and still be spoken of as part of the Dallas metropolitan area.