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 is taking place from June 11th to July 19th in the United States, Canada and Mexico. The tournament features 48 national teams and is played at 16 modern stadiums.
Match schedule and times | Group standings and knockout bracket | How to watch the World Cup | World Cup Format | Past winners of the tournament