Davies took over as manager of Nottingham Forest in January this year after impressing in spells at Motherwell, Preston and Derby.

Former Scotland boss Brown believes he possesses the skills for the national team job but does not think he would be tempted by the vacancy right now.

"I worked with Billy Davies who I consider to be absolutely outstanding," he told Sky Sports News.

"But I don't think there is a chance of Billy Davies wanting to manage Scotland."

One of the bookies' favourites is Dundee United manager Craig Levein and Brown added: "Craig Levein has done very well since he has come back from Leicester, where he didn't excel.

"He has done very well at Dundee United, he is a very capable coach and clearly a good manager."

When asked if he would consider a return to the role, the 69-year-old laughed: "I can't imagine them asking me."

Burley was sacked on Monday night in the wake of Saturday's demoralising 3-0 defeat to Wales.

Brown says he was "not surprised but disappointed" by the SFA's decision to part company with the former Hearts and Ipswich boss following a string of disappointing results.

But he did not feel a lack of respect from the players was an issue, despite high-profile incidents such as the infamous 'Boozegate' affair blighting Burley's tenure.

Brown said: "I was in the camp on one occasion and I thought the respect was excellent at that time.

"The captain, Darren Fletcher, has been fulsome in his praise of George and confirmed that the players were behind him.

"I've not asked the players if they respect him but I don't think there was a lack of respect."

Former Scotland striker Charlie Nicholas argued the SFA had to shoulder a large proportion of the blame for the failures over the last two years.

"As much as George probably deserved to go because the last two games have been an absolute embarrassment, I feel for him because he is an honest guy," Nicholas told Sky Sports News.

"I think he had the right ideas but to lose players like McCulloch, Boyd, McGregor, Ferguson, the way that happened it wasn't always his fault.

"It's just been an absolute mess from day one; playing in Macedonia in the heat and hardly going there before; the SFA arranged the game against Norway away before we actually had a league game and got stuffed 4-0.

"George can hold his hands up and say I take some responsibility and it didn't look good in the end but the SFA have looked none too clever in the process either."

Another former Scotland international, Davie Provan, claimed the national game's problems were rooted in "Third World facilities" for young footballers.

But he added: "If you look at the Republic of Ireland, who have a similar quality of player to Scotland, then I do believe Scotland should be doing better, and I'm sure that was part of the reason Gordon Smith and the board made that decision today."

The ex-Celtic winger backed former Rangers boss Graeme Souness and current Ibrox manager Walter Smith as potential successors.

"Graeme is the type who would walk into that dressing room and put 30,000 volts right throught it," Provan told Sky Sports News.

"The players would have huge respect for him and he could do the job.

"I was saddened to hear him rule himself out but if I was Gordon Smith I would still go to Graeme Souness and put a package to him."

Provan added: "If something could be worked out where Walter Smith can do this job and the Rangers job at the same time, I would certainly be in favour of that.

"Because you only have to look at the way Walter Smith reorganised the Scotland side after the Berti Vogts era. I think Walter Smith would be a terrific choice."