Earlier reports had suggested the former Scotland captain was distancing himself from the vacancy created by Alex McLeish's move to Birmingham.
Interviewed
But Souness told the Scottish Mail on Sunday: "I have been interviewed by the SFA.
"The interview was conducted in a very professional manner and I want the job."
Mark McGhee and Tommy Burns are also believed to have held talks with the football governing body, while George Burley is the other name on the shortlist.
Meanwhile, Billy Davies has revealed why he withdrew from the race to succeed McLeish as national team coach.
Input
He told the Scottish News of the World: "Scotland appointed an Under 21 manager before the national job was filled suggesting to me that the new manager wouldn't have any input at lower levels.
"That's not how I see the job so I respectfully withdrew my name from consideration."
Davies spoke to Republic of Ireland representatives on Thursday and added: "People might say 'He's not willing to speak to the SFA but he speaks to Ireland'.
"However, the Irish don't know anything about me so I can understand them wanting to speak to me face to face. Gordon Smith and everybody else in Scotland knows me."
