The Scots managed just one point from their two most recent games as they were held to a draw at home by Lithuania and beaten 3-0 in Slovakia.
Strachan has come in for criticism of late and there have been calls for a change in manager from some quarters, but the former Celtic and Southampton manager says he is the right man to lead the team.
Scotland's chances of qualifying for the World Cup in Russia hang in the balance as they sit fourth in Group A with four points from three games.
A trip to Wembley to face England lies ahead next month when the qualification campaign resumes, and Strachan believes he will still be in charge but stressed the prospect of being sacked holds no fear for him.
"At the moment I just think I am the best man to go down there with the group and get a result," Strachan told reporters.
"I love this job. I love working with the people, I love bumping into supporters and I get a great response from them. I love dealing with my backroom staff, with the SFA staff. It’s a fantastic, fantastic job.
"Do I fear the sack? No, I don’t fear the sack because I’m 59, I’m all right, I’ve got loads to do in my life. I have absolutely no fear of the sack because life is good for me. I live in a good world. The only thing I want to do is make people happy.
"Do I fear not working with these players? Yes. Do I fear not working with the staff? Yes. I do not fear getting the sack because really, when I wanted to do this … I’ve been so lucky in football to get to places that people only dream of in football."