Redknapp is keen to speak to club owner Tony Fernandes over bringing in Bridge, whose Manchester City contract is about to expire, but is adamant that he must have the final say over rejigging QPR's playing roster.
"If we don't change it, and I don't get the players that I want to bring in, then we have not got a chance," Redknapp declared.
"You can't have other people have a say at all, I'm a football person and I've got a staff around me of football people.
"We've got to make the decisions, and if we make the right ones we will have a chance. Otherwise, if other people want to make decisions we've got no chance.
"If I don't get that then I wouldn't stick around. I'll speak to Tony Fernandes, they've got to back me with the people I want. I'm not asking him to spend money, I'm looking at a couple of free transfers.
"I'm trying to get Wayne Bridge, I thought he did fantastically well with Brighton, he'd be a good left-back for us. He's got great experience, looks in great shape and is a player I want to bring in on a free.
"I'm hoping that's the first deal I can do. Tony is away, but I'll speak to him today and see if we can get the deal done."