The SFA is on the hunt for a permanent replacement for Craig Levein, sacked last month after a poor start to Scotland's World Cup qualifying campaign which left them bottom of their group.
Former Germany World Cup winner Berti Vogts has been Scotland's only previous foreign manager, but he failed to impress in the role.
However, when asked if there was only interest in Scottish applicants, Ogilvie said: "We want to bring in the best possible manager for the Scottish national team.
"From wherever, we want the best person for the job."
Gordon Strachan remains favourite for the post, although ex-Bolton boss Owen Coyle is another strong candidate.
"The process is well under way and obviously it's our aim to have a new manager in place in plenty of time before the next competitive game in March against Wales," Ogilvie added.
"We have got some individuals who we believe could fill the post. I'm not going to get drawn on any details."
When asked if they had approached any individual, he said: "All I'm going to say is we are working on the process and we will come out once we have a decision finalised."