The Manchester United striker pulled up while chasing a long ball in Chile’s third-place play-off against Argentina on Saturday.
He was substituted after just 17 minutes because of the problem.
The 30-year-old has suffered a number of injury problems of the last 12 months and has had problems with his hamstring, thigh, knee and ankle.
He made just 11 starts in all competitions, with a further 12 substitute appearances, as he could only score twice.
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Sanchez has endured a difficult time at Old Trafford since his move from Arsenal in January 2018.
The 30-year-old has managed just five goals in 45 appearances.
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Chile went on to lose the Copa America third-place play-off against Argentina 2-1.