FIFA decided to change the venue after the North refused to let the South play its national anthem and fly its flag at the game.
Both associations are in agreement with the move.
Lee Won-Jae, a senior official of the (South) Korea Football Association, said they respected FIFA's decision.
"The decision will not be favourable to the North Koreans because they after all gave up a scheduled game at home," he told AFP.
"They will also have to spend extra money for the trip."