This achievement is incredibly easy to do with updates that have been applied since the original release date. If you have already beaten each campaign on a difficulty below Veteran, just load up the last checkpoint of each chapter on Veteran and finish the chapter.
This works as of 15/11/2015.
credit for the solution goes to StEvEY5036 as per the professional achievement guide.
Will recommend you do this method for professional as veteran will unlock as a byproduct.