Hernandez's verified Twitter account, @CH14_, posted a link to a story on the Sky Sports website in which his fellow Mexican Carlos Vela said he should look to leave United if he does not start playing more regularly.
The 25-year-old striker came off the bench to score the winner in a 3-2 victory over Stoke a week ago but was an unused substitute for the 3-1 win at Fulham on Saturday.
Hernandez has been in and out of the United side since signing from Guadalajara in 2010 and this season has struggled to earn a start in the league ahead of Robin van Persie and Wayne Rooney.
In the article retweeted by Hernandez, Real Sociedad forward Vela said: "If he plays regularly he will score, so I don't totally understand why a player of his quality has not played more games.
"If he doesn't play regularly he will need to think about leaving."