AFC Bournemouth have signed Christian Atsu from Chelsea on a season-long loan deal.
Midfielder Miguel Pallardo has signed a new one-year deal with newly-promoted Hearts while Danny Wilson leaves.
Speculation continues to suggest that the Mexico international could soon be on his way out of Old Trafford.
Hernandez has never been a regular starter throughout his time in England, but is finding first-team football increasingly hard to come by.
A lack of involvement, in a World Cup year, could force him to consider his options.
There would be no shortage of takers were the 25-year-old to become available, with his strike rate at domestic and international level making for impressive reading.
United are, however, reluctant to part with a key squad player, with Moyes expecting Hernandez to play an important part in his plans over the coming months.
He said ahead of the Red Devils' UEFA Champions League clash with Real Sociedad on Wednesday: "It is not a question for now.
"He will play a lot of games before the end of the season."