The former Spurs boss believes that a Scottish manager would be best suited to the role, such as his former assistant at White Hart Lane, Joe Jordan.
Redknapp told BBC Scotland: "There's enough good Scots lads about to take the job.
"I wouldn't really be in the running for that job. It's a big job, a great job for somebody and Joe knows it. He knows the game. He's a very solid guy, he's a fantastic guy.
"He's nothing like the Joe Jordan that you knew as a player - a real fearsome character on the pitch. Joe's a quiet family man, really dedicated. You could put your life on Joe."