Redknapp's side currently sit bottom of the Barclays Premier League, with just four league wins to their name so far this season and their relegation confirmed two weeks ago at Reading.
The 66-year-old has already suggested the current crop of Rangers players would not be good enough to secure an immediate return to the top flight, but now the former Tottenham boss has also called the discipline of the squad off the pitch into question.
Midfielder Stephane Mbia is the latest player to upset Redknapp, tweeting on Monday that he wants to secure a move back to previous club Marseille.
"If they practised more rather than tweeted they would be better footballers," said Redknapp.
"Next year lots of things have to change here - the whole discipline of the club. I have pussyfooted around with some of them because they are here and you need to get the best out of them.
"I want players who want to be here, work hard and train hard - the others, just don't bother. In terms of discipline, it has got to change.
"Some of them think they can do what they want when they want. It's been difficult because we have had to use them, but now is the time when we have had to make the changes.
"You have to get a good squad of players and need strong characters as much as ability.
"There are some good characters here and they are not all dysfunctional. There are some good lads here too, but you do need more. It's a different game, different people and different characters, but it is still football. I love football."