Rangers were relegated from the Premier League after Redknapp took over from Mark Hughes in November 2012.
"[The players were] very arrogant and contemptuous. They would rather come in late every day and just pay the fine than behave in a professional manner," Redknapp wrote in his autobiography that is being serialised in the Daily Mail.
"Some would train all week, then have a mystery injury and cry off for the match on Saturday. Rarely would anyone play through a knock or a tweak. I don't know how they had the front to pick up their wages some weeks. I was worrying about the effect it was having on my health, too.
"After the defeat at Everton I hadn't slept. I looked at myself in the mirror and I didn't look right, I didn't feel right. I was getting funny feelings, my body ached and my chest felt tight. I was really worried that I was going to give myself a heart attack or a stroke."
Redknapp's Rangers are currently second in the Championship.