Chicharito did not nail down a starting spot in the last Premier League campaign, and has been linked with a move to former side Chivas.
With the World Cup commencing next month, the Mexican international has pushed back a decision on his future until his return from Russia.
"Of course I am a West Ham player still, but we'll see," Hernandez said in his press conference ahead of Mexico's friendly against Wales.
"Right now what can I tell you? I'm glad there's a new manager? I'm sad there's a new manager? It's not the moment to speak about this. My mind is 100 per cent on the World Cup."
When asked whether Manuel Pellegrini is a good appointment for West Ham, Hernandez replied: "I don't know."
The former Manchester United striker only signed for the Hammers last summer in a £16m move from Bayer Leverkusen.