The Mexico international has been linked with a summer move to the San Siro in a deal that would see 19-year-old midfielder Mateo Kovacic moving in the opposite direction.
Mexico boss Miguel Herrera had previously suggested the forward was frustrated with his lack of playing time at Old Trafford, and would be seeking a summer move.
Hernandez has started just four league games this season, although his agent Eduardo Hernandez has insisted there has been no contact from the Italian giants.
“I think these are just rumours. I have no news of Inter and Manchester United have not let me know anything about a possible offer,” he told calciomercato.it.
“The same goes for the other teams that have been linked to my client, to date there is nothing concrete.”
Speaking of a potential summer exit, he said: “Currently, we are not able to say it because we should talk with United, the club with whom Javier still has several years of the contract.
“At the moment we have not planned any meetings with the Red Devils.”