Redknapp said: "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.
"Cesar is a top keeper and you can understand why people would want him, but we've not had any enquiries."
Further recruitment is the target and Redknapp admitted he is interested in South Korea defender Yun Suk Young, who will need to apply for a work permit.
He said: "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.
"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!"