Hernandez put the gloss on United's 4-1 win over Fulham on Saturday, scoring twice to take his tally for the campaign to 14.
More importantly, it sealed a place in the FA Cup fifth round, and kept his side in with a chance of repeating the greatest season in Red Devils' history.
"We want to win all three. We want to win the treble," said Hernandez.
"It is in our minds. We need to think game by game, get the points in the league and get though in both cup competitions."
Hernandez has now exceeded last season's goalscoring total, although typically, the Mexican is not interested in personal accolades, not even that long-awaited hat-trick, having once again fallen marginally short.
"I am always looking for the famous hat-trick," he said. "But the most important thing for me right now is to win the treble.
"Next we have two games in the league. After that there is the international break, we play another league game and then Real Madrid, so the calendar is busy and we are looking forward to it."