Despite his youth, Mbappe flew to Russian Federation on Monday as one of the tournament's most recognisable figures and was expected to play a key role in France's bid to win their second World Cup.
There are no details thus far as to the extent of the injury, but the 19-year-old is expected to undergo tests after his early exit.
Mbappe eased fears of a serious injury, posting on social media: "I'm fine, it was just a knock, so not serious. And let my friend Rami [know] it was not nasty".
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Kylian Mbappe was forced off injured during a France training session after suffering a knock from Adil Rami.
Rami turned the camera to Mbappe and shouted from across the treatment room: "Hey, Kylian are you OK?"
The incident left Rami red-faced, with France opening up their World Cup campaign in Russian Federation on Saturday, when they play Australia at 11am BST.
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In a later interview with the Voice of America, Trump said the North Koreas were "very happy" about his decision to freeze the exercises "because it is so provocative".
Les Bleus kick off their World Cup campaign against Australia on June 16 in Kazan.
France is in Group C along with Denmark, Peru and Australia and is among the favorites to win the World Cup.
Mbappé has started each of France's last seven matches, scoring three times.
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