Chief executive Stewart ‘Rule Breaker’ Regan issued a statement after its review of a poor start to their World Cup campaign with the team picking up a mere four points from 12.
There had been speculation about Strachan’s position after Friday’s 3-0 defeat by England at Wembley which followed an identical flop against Slovakia in Bratislava.
Regan added: “The board have considered the team’s performance since the start of the campaign and subsequently discussed the disappointing points total after four matches.
“He is adamant, however, that we can recover the position and believes a play-off place still to be attainable.”
Only the nine group winners are guaranteed a place at the 2018 finals in Russia and the Scots trail section leaders England by six points.
However, the eight best-placed runners-up will have a second chance via play-offs and Strachan stressed his belief in the players and their ability to qualify.
“We were all extremely disappointed with the result on Friday night,” he said.
“But, having reflected on our performance, I still believe we can get ourselves back into contention in the group.
“There are still 18 points to play for and the players, the staff and I, as in previous games, will give everything we have to turn things around.
“I have said consistently that our fans deserve success and a return to a major tournament finals.
“Although we have had a difficult start to the campaign, I firmly believe that this group of players, together with our supporters, can maximise our chances of a play-off place, starting with the home match against Slovenia in March.”
Meanwhile Fifa’s disciplinary committee have instigated a case against Regan’s rule breakers at the SFA and the English FA after both associations proceeded with their plans to wear poppies on their black armbands on the 11th November World Cup qualifier at Wembley.
Both associations have now been charged and it is understood the Football Association has been notified that pre-match events on Armistice Day are also under coming under FIFA scrutiny.
This would potentially include the display of poppies on big screens in Wembley, the minute silence, the playing of the Last Post and handing poppy t-shirts out to the crowd.
Both the Northern Irish and Welsh FAs decided against wearing poppies believing the the risk of fines and possible points deductions were too high and neither association wished to break the FIFA rules.
Regan has also been in the news for the misleading information he supplied to Celtic Chief Executive Peter Lawwell in 2013 concerning the granting of a licence to Craig Whyte’s Rangers to play in European competitions in 2011 despite having outstanding social taxes.
Regan position has been compromised by UEFA who have been in correspondence with a firm of solicitors acting for a group of Celtic shareholders.
The matter, known as Resolution 12, was raised at this week’s Celtic AGM and the Celtic board are now looking into the findings.
Scotland had a bigger poppy than England at Wembley.