The Rs, who have gone through 11 managers over the past five years, currently lie seven points adrift of Premier League safety but the Malaysian is targeting continuity at the club.
He told London Call-In: "I want stability more than anything.
|13/2||QPR are 13/2 with William Hill to avoid relegation from the Premier League
"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."
Although the manager's position is safe, several of the first-team squad's futures may be in jeopardy as the club look to trim the wage bill, Fernandes confirmed.
"We will have to sit down with Harry and discuss who we want to keep and who would go," he added.
"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 that shows how much rebuilding we had to do."