It's believed Solskjaer wasn't openly selling Young since he feels the 34 year old's experience and leadership but Inter's offer has been too tempting for the player.
With his contract set to expire at the end of the season, Eriksen is free to sign a pre-contract agreement with an overseas club and is interested in joining Real Madrid or Inter Milan.
"Ole Gunnar Solskjaer could have been selfish and could have got players in for a quick fix", Fletcher told talkSPORT, "but he wants to do the best for Manchester United long term - and he's doing it the hard way".
"That [Young's future] is a discussion that me and Ash will have if something comes up".
"We've just got to handle it and Ashley's been very professional and focused so I don't think that's going to change".
"Ashley's been very, very good for this club, he's been a very good captain this season".
United's injury problems in midfield have resulted in talk over potential new arrivals.
Surely, this will go down as one of the strangest transfers we will see this year, and perhaps in our entire recent memory.
Tottenham star Christian Eriksen has told Manchester United he has "no interest" in moving to Old Trafford and will instead look to move overseas, according to reports.
Speaking in an interview quoted by Metro, Solskjaer said: "We've still got the same thoughts we had a month ago".