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The Mexico international has played just 441 minutes for the Andalusian club in La Liga since joining in an €8m deal from West Ham United this summer and is said to be open to moving on.
MLS side Galaxy are hopeful of signing a striker to replace the output of Zlatan Ibrahimovic - who joined Milan this month - and they already have Mexican internationals Jonathan dos Santos and young Efrain Alvarez, with the interest initially outlined in ESPN Deportes.
Hernandez - known as Chicharito - has thrived in European football across the past nine years, most memorably at Manchester United before also enjoying spells at Real Madrid, Bayer Leverkusen and West Ham.
The 31-year-old was one of a host of summer arrivals at Sevilla including other strikers such as Luuk de Jong and Moanes Dabbur - who joined Bundesliga club Hoffenheim earlier this week.
