The 33-year-old is free to talk to foreign clubs as he is out of contract in the summer and has yet to agree terms on a new deal at United.
United have discussed giving Young a one year extension.
Young has made 19 appearances for United in all competitions this season and remains an important member of the squad.
The right-back was favored under Jose Mourinho and is also rated by Ole Gunnar Solskjaer, who started Young in the side that beat Bournemouth 4-1 last Sunday.
Young has scored once and provided three assists from defence, offering an effective outlet to the team.
He also impressed for England in their run to the World Cup semi-final this summer and is in superb condition despite entering the twilight of his career.
The former Aston Villa man joined the Old Trafford club back in 2011 for a fee between £17million.
He has won the Premier League, FA Cup and League Cup in addition to last season’s Europa League.