Redknapp - who was sacked as Birmingham City boss in September - has admitted that he would like to be considered as a possible replacement for Strachan, but admitted that he is unlikely to be given a chance by the Scottish Football Association.
The 70-year-old told BBC Scotland: "Of course. It must be a fantastic job to have. I think Gordon did what he could."
"I must be truthful, I watched the Scotland games and not the England games, because there was nothing on the England games. Those last two Scotland games, the win against Slovakia, the late goal, I kicked every ball that day.
"Then I thought Scotland had a chance, and then 1-0 up in the second game [against Slovenia], it would've been a real great achievement to have qualified, but I think Gordon did what he could. It's a difficult job. I wouldn't see myself having any chance of getting it, but it would be a great job for someone."
Redknapp's only experience on the international stage is a two-game spell with Jordan in March 2016.