Strachan looked to be in trouble after the Scots were soundly beaten 3-0 by historic foes England in a qualifier for Russia.
Strachan -- who had a distinguished international career being capped 50 times -- looked to be in trouble after the Scots were soundly beaten 3-0 by historic foes England in a qualifier for Russia.
It left the Scots -- who haven't qualified for a major tournament since the 1998 World Cup -- eight points adrift of leaders England and four off second-placed Slovenia, who they host next March, after four matches.
However, McRae said following the SFA board's review of the campaign 59-year-old Strachan retained their confidence despite the poor start and they were the only British Isles side to fail to reach the Euro 2016 finals.
"Gordon is a good experienced coach, a former international player, he has all the credentials, he has won trophies (he guided Celtic to three league titles, a Scottish Cup and two League Cups)," said McRae.
"He has a good group of players, they work as a group.
"We are obviously a bit disappointed to say the least in terms of four points from 12 which, if it had been six or seven we would have all have had at least a half smile on our face.
"But it is mathematically possible and I still think Gordon can take us to the play-offs.
"I am going to be positive. We are moving on. March will be the next home game, a great opportunity to get a win.
"It was always going to be difficult and we have made it more difficult for ourselves but I still think it is possible because we have four games at home."