The football administrator who doubles as president of CONCACAF disclosed this at a conference in London after the American suggested he would move games away from cities he thought could be "even a little dangerous for the World Cup".
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"It's FIFA's tournament, FIFA's jurisdiction, FIFA makes those decisions," Montagliani said.
"With all due respect to current world leaders, football is bigger than them and football will survive their regime and their government and their slogans."
Trump sparked headlines by inserting himself into Chelsea's celebrations after winning the Club World Cup at MetLife Stadium, the New Jersey stadium which will also host the World Cup final.