The Liverpool forward, in outstanding Premier League form, suffered a ruptured Achilles during the Champions League loss to PSG.
The injury, expected to keep him out for nine months, ends his season and World Cup hopes, dealing a major blow to both France and Liverpool.
"He was seriously injured on Tuesday night against PSG. The severity of his injury will unfortunately prevent him from finishing the season with Liverpool and participating in the World Cup," he said.
"Hugo is one of the dozen young players who made their international debuts in recent months. He integrated perfectly into the squad, both on and off the pitch.
"This injury is a massive blow for him, obviously, but also for the French national team. His disappointment is immense."