The shot-stopping duo have both been strongly linked with January moves away from the west London club but their manager is hoping they will stay put this month
Cesar has been linked with a move to Real Madrid as the Spanish giants look to cover for Iker Casillas' expected month-long absence, whilst Green is reportedly a target for Nottingham Forest.
However, Redknapp is reluctant to let either of his shot-stoppers go as the west London club look to climb out of the relegation places.
"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 reporters.
"Cesar is a top keeper and you can understand why people would want him, but we've not had any enquiries."
The Englishman went on to express his desire to add to the QPR squad rather than allow any players to leave this month.
"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!"
The club are believed to be close to a deal for South Korea international Yun Suk-Young, but a cryptic tweet from the 22-year-old on Friday appeared to suggest that his future is uncertain
"God, please give me another day. I cannot decide yet. I'll wait for a moment and think deep. Please respect my decision," he wrote.