Mexico striker gutted after concluding outstanding inaugural season in England with a comprehensive defeat in the Champions League final at Wembley
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Despite enjoying an outstanding debut campaign for the Red Devils this term, the 22-year-old Mexican was unsatisfied after his club failed at the last hurdle with European glory in sight.
Discussing his disappointment at the result, Hernandez said his side would have to learn the lessons from another painful night.
"The defeat obviously hurts," he told reporters. "There are lessons to be learned, and we have to learn them.
"Now I have nothing to celebrate, nothing to shout about. I'm hurt: these losses always hurt, even moreso in a final.
"You can call this a failure or a disappointment. We would have liked to have lifted the cup, but instead we have to applaud."
Chicharito lauded Barca as deserved winners after he failed to get a shot on goal in 90 minutes against the Spanish champions.
He added: "Barcelona won the match well - they were better than us. They're the best football team in the world.
"You have to applaud them because they're champions."
Of star of the show Lionel Messi, Hernandez said: "I'm not surprised by him. He's the best in the world, and he's done what he does best."