The Mexican is likely to leave Old Trafford in the summer and Inter are reportedly keen on a deal.
The Mexican is unlikely to be wanted by United manager Louis van Gaal as he looks to spend big this summer to bring a number of players to Old Trafford, with a striker thought to be principal among his targets.
Hernandez, of course, is returning from a season long loan spell with Real Madrid where he struggled for game time ahead of the likes of Karim Benzema.
He is not expected to return to the Bernabeu after they failed to exercise an option to purchase him, although new boss Rafa Benitez may change his mind on that front.
That has led to interest from a number of sides, both in the Premier League and in Europe, with Inter now thought to be in pole position, according to Italian newspaper Tuttosport.
Manager Roberto Mancini is looking for support for forward Mauro Icardi and apparently sees Hernandez as the perfect option.
He had been keen on Villarreal forward Luciano Vietto, but has now given up on that chase with that player likely to join Atletico Madrid instead. An added bonus will be the United forward’s price - he's unlikely to cost as much as the Argentine star, leaving funds to be used elsewhere.