QPR this month.
Cesar has been linked with a switch to Real Madrid, while Green is being lined up as a replacement for Lee Camp by Nottingham Forest.
But, Redknapp is determined to keep the pair at Loftus Road as he looks to steer the club clear of relegation.
“I don’t want to sell Cesar or Green. They’re two good quality keepers. They’re our backbone. We need to keep them here,” he told Sky Sports.
“Cesar is a top keeper and you can understand why people would want him, but we’ve not had any enquiries.”
The Super Hoops have conceded a whopping 37 goals this term, leaving them at the foot of the Premier League table. But, they have improved under the management of Redknapp, who replaced Mark Hughes.
The ex-Tottenham boss is keen to keep his new club in the top flight and is willing to spend big to do so.
Striker Loic Remy arrived earlier this month and it is believed that South Korea star Yun Suk-Young will sign soon, depending on a work permit application.
Redknapp revealed that he is still looking for signings and will continue to do so
“I can’t let anybody go unless we get some players in. We need to strengthen, not weaken the side and we have been trying,” he added.
“I haven’t been home for 12 days. (My wife) Sandra said she’d forgotten what I look like. I said I look like Paul Newman. In my dreams!”