Quansah was sent off after a video review determined that he made a sliding studs-up tackle.
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.
FIFA World Cup 2026
The 2026 World Cup took place from June 11th to July 19th in the United States, Canada and Mexico. The tournament featured 48 national teams and was won by Spain, who beat Argentina in the final.
Full schedule and results | Group standings and bracket | Past winners of the tournament | Our team of the tournament | About the 2030 World Cup