The former Mexico international striker, now 37, signed for CD Guadalajara in January 2024.
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This week, Mexican journalist Gibrán Araige reports that Hernández could leave his club this winter.
The striker has reportedly set his sights on a return to England, and hopes to sign for a club in the Championship.
The prospect of a move to Wrexham for Chicharito has been raised, particularly given the Welsh club's growing profile in the US.