The Manchester United midfielder has undergone surgery on the chronic bowel complaint that has sidelined him for much of the last two years, and he will miss the remainder of this season.
Strachan, appointed Scotland boss on earlier this week, believes Fletcher's decision to have the operation was the right one and he is looking forward to welcoming him back to the international scene.
In a statement, Strachan said: "On behalf of the Scotland supporters, the national squad and backroom team, I wish Darren the best of luck in his recovery from the surgery that has been confirmed by his club.
"I spoke with Darren on Tuesday and know that the decision to have the operation has been taken in the interests of his long-term health and with the full backing of the medical staff at Manchester United.
"Darren's commitment and pride in playing for his country is an example to any professional footballer, as has been demonstrated by his availability for the recent World Cup qualifiers and the international challenge match against Luxembourg.
"I'm sure I speak for all Scotland fans when I say I hope that the operation allows Darren to overcome his condition and resume his role as a major influence for club and country in his own time.
"In the meantime, I have stressed to him that, as captain, he remains an integral part of the international set-up and that he is welcome to join up with the squad at any time during his recovery."