The Mexico international has struggled to have an impact since David Moyes took over at Old Trafford, scoring his sole strike in a 1-0 win against Liverpool in the League Cup.
Hernández, who scored 10 goals in 22 top-flight appearances last season, was linked with a move away from the Red Devils in the summer transfer window.
But the 25-year-old is relishing the competition for a starting spot at the reigning Premier League champions.
“I strive for that [to start more games],” Hernandez told Mexican TV station Deportes Telemundo.
“I am working towards that – earning a spot as a starter. I know that my performance on the pitch will allow me to achieve that goal someday either here [in Manchester] or elsewhere for any other club.
“I am going on four years here [at Manchester United] and really, like I have always said, I am happy to be able to play for one of the best clubs in the world, doing my best every single day to earn more minutes on the pitch.
“I just need to be given more opportunities to showcase what I can do, because all of us want to be able to contribute our part so this team can win championships.”
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