Quansah was sent off after a video review determined that he made a sliding studs-up tackle.
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England had been weighing a possible appeal after FIFA overturned a one-match suspension imposed on United States striker Folarin Balogun earlier in the tournament.
However, the two-match ban means Quansah will miss England's quarter-final against Norway on Saturday in Miami and a potential semi-final should they advance.
The defender would only be available again for selection if England reach the World Cup final.
The suspension is a setback for Tuchel as England attempt to continue their run in the tournament, with the team's defensive problems compounded by injuries.