Garnacho was to join the squad in Miami, but Argentina coach Lionel Scaloni agreed for the winger to remain at home.
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The United youngster confirmed on social media: : "I had problems with my knee in the last two games and I won't be able to play for the national team.
"But I hope to recover to be able to be present at the next match."
The injury will prevent him from playing against Venezuela and Bolivia over the coming week.