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.
"I am doing fine, it was just a knock, so nothing serious but thank you for your messages", he wrote via his official Twitter account while urging fans to "lay off my friend Adil Rami as it was not malicious".
The incident comes just four days before Didier Deschamps' men begin their campaign in Russian Federation with Saturday's clash against Australia.
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However, in true Trump family fashion, Ivanka Trump tried to brush off all criticism, going as far as making up a proverb. In 2013 she posted on Twitter: "Choose a job you love, and you will never have to work a day in your life".
That was just the attacker's second full senior season having broken into Monaco's first team as they won the title in 2016-17, Mbappe scoring 26 goals in all competitions as they also reached the Champions League semi-finals.
"I think that he is the boss since the Euro already", he said Wednesday.
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.
Kylian Mbappe scored a late equalizer for France to offset a goal from Julian Green and deny an inexperienced USMNT side a win in Lyon.