Hernandez, who scored twice in the 2-1 Premier League defeat of Stoke on Saturday, netted the winner in Tuesday night's 3-2 success against Wolves at Old Trafford.
And Brown said afterwards: "He's got a great attitude to the game. He's a player who wants to learn and score goals and is good at it.
"He tries his hardest and deserved his goal at the end. He's a new cult hero and I'm sure he can keep it going."
The defender added on Sky Sports: "There were a lot of changes tonight. A few young lads came in. but we're definitely going to try and win this competition again.
"I think the future is bright, a lot of players who played tonight have not played many games and they've got a lot to prove in the future."
Team-mate Park Ji-sung added on Hernandez: "He's unbelievable. We saw he's a natural goalscorer - it's good to have 'Chicharito'."
Sir Alex Ferguson added on Sky Sports: "It was a very open game in the second half, Wolves played very well and it was a really good cup tie."
On Hernandez, he added: "They tend to build heroes quickly here but he's justifying the praise at the moment.
"He's very professional, the first out on the training ground and the last one back in every day and he's rightly getting a lot of praise for his goalscoring.
"When he gets a chance, you know he's going to take it. His touch, control of the ball and vision are improving and that's because the training is intense - we care about it and making sure the players do improve."
Ferguson believes picking up English is "essential" for a young overseas player to make an impact in England and highlighted the fact Bebe is not as fluent.
Bebe was also on the scoresheet, opening the scoring with a deflected cross.
Ferguson added: "He did the right thing and attacked the defender. It was either going to be a good cross or a deflection into the net.
"I think everyone is very positive. We work hard at producing young players, they're definitely the future of the club."