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."
United's campaign is progressing reasonably smoothly towards Wednesday's Old Trafford encounter with Southampton.
A couple of dropped points at Tottenham and an irritating Aaron Hughes consolation apart, manager Sir Alex Ferguson has little to bother him just now.
That Hernandez and Wayne Rooney both carved their names on the scoresheet on a day when Robin van Persie remained on the bench throughout underlines the strength at Ferguson's disposal.
The Old Trafford chief will be aware that there could be few more accommodating opponents than Fulham, who surrendered in meek fashion and failed to put under-fire David de Gea under any significant pressure after Ferguson kept faith with him, which pleased former United goalkeeping coach Tony Coton.
"The criticism of De Gea has not just been over the top this week, it has been all season," Coton told MUTV.
"Whenever a goal goes in they seem to point the finger at David.
"I hoped he would play, just to shut the rumours up that he had been dropped."
And Coton believes United should stick with De Gea because he does not see any worthwhile alternatives that could realistically be attracted to the club.
"Over the years we looked at a lot," he said.
"We looked at Buffon but there was no way we could get him. He just didn't want to come out of Italy.
"We tried to get Edwin van der Sar a lot earlier than we did but it didn't happen.
"It is not a matter of 'it is Manchester United, we must be able to get them'. There are certain situations when you can't."
De Gea went about his business confidently on Saturday, although with Ryan Giggs pulling the strings in midfield, United's goal rarely came under threat.
Giggs' early penalty, 20 years after he scored his first FA Cup goal, was suitable reward for his endeavours, whilst midfield partner Anderson can also look back on the game with pleasure.
The Brazilian has spent far too long on the sidelines during his Red Devils career but the precise through ball to set Rooney up for his 10th goal of the campaign was a further reminder of his capabilities.
"I am still not 100%," said Anderson, who was making only his second appearance since spending six weeks on the sidelines with a hamstring strain.
"Maybe I need one or two more games, then I think I'll be okay.
"It's important for me to not have any more injuries because every time I think things are fine I end up having to stay out for a month and train hard to get back again.
"Now we are just taking it slowly and trying to ensure there are no problems."