The Râ€™s currently sit second bottom on the Premier League table, seven points from safety, but Fernandes hopes he can convince Redknapp to stay at Loftus Road even if they are relegated to the Championship.
"I want stability more than anything," Fernandes told London Call-In.
"I wanted it with Neil Warnock and Mark Hughes, so it's third time lucky with Harry. I think he is the man. We understand each other well and he knows how committed the shareholders are.
"He has a great coaching staff and philosophy - he's a fantastic man and I would love to keep him as long as he wants to stay."
Regarding the possibility of Redknapp staying, Fernandes added: "We will have to sit down with Harry and discuss who we want to keep and who would go.
"Obviously there will be players that will go regardless of if we stay up or go down. We want players who can give a lot to the club for a long time.
"I do see players going, but we do have the nucleus of a good squad now which we have had to rebuild.
"Every single player who has left QPR has not stayed in the Premier League and I think that shows how much rebuilding we had to do."