The Manchester United striker says he is aware of the Italian club's pursuit of his signature but adds it would be disrespectful to the Red Devils to discuss a potential move.
Hernandez, who has also been linked with Atletico Madrid, scored 20 goals in all competitions in his first season at Old Trafford but has since struggled to hold down a place in the starting XI, developing a reputation as a "super-sub."
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The Mexican has never been fond of the role, however, leading to suggestions he could leave United, with Robin van Persie and Wayne Rooney entrenched as the club's first-choice strike pairing.
“I know of Inter’s interest, I'm happy for this reason,” Hernandez told reporters on the Red Devils' preseason tour of the USA, according to Corriere dello Sport. “There are many clubs that want me, but at the moment I am a Manchester United player and it isn't respectful to talk about other teams. I don't know my future, we will see after the USA tournament.”