The 24-year-old was expected to start the season as the first-choice goalkeeper but a bout of Covid kept him out for a couple of months and David de Gea re-established himself as the number one.
Henderson has featured just four times this season and is pushing for a loan move away from Old Trafford in the ongoing transfer window, with Southampton keen to sign him.
But Rangnick insisted that he wants to keep him and claimed that he has told the same to the goalkeeper, in a blow for Southampton’s hopes of signing him.
He conceded that it is natural for Henderson to want to play more games at this stage of his career but stressed that Manchester United need him as they are in play in three competitions this season.
The German said in a press conference: “I told him that I would like him to stay.
“He is a fantastic goalkeeper, I would really like to have him on board.
“I can fully understand why he wants to play at his age but we are still in three competitions.
“I can understand his desire to get regular game time.”
Henderson is not happy with his situation at Manchester United and wants to secure a temporary move away soon.