According to reports, the 27-year-old has suffered a broken collarbone, although the Mexican Football Federation has yet to confirm the nature of the injury.
"We have no report, all I know is that he has gone to hospital," coach Miguel Herrera said on the federation's website
"We have not yet seen the results.
"It will have an impact on the group but we're just thinking about what is ahead
This is an unfortunate situation we cannot change
"'Chicharito' was going through a great period before the injury came, but we must move on."
Hernandez was hurt shortly before half-time in a collision with Honduras defender Brayan Beckeles and signalled for help before being substituted
The match finished goalless in Houston.
A significant injury will not only rule Hernandez out of the Gold Cup but also complicate his attempts to secure a move away from Old Trafford after a season out on loan with Real Madrid, who declined to take up an option to make the move permanent.
Source : PA