The cord runs from under your dash, along the drivers side fender well to the release mechanism. Chances are that is the cable you have. Tugging on it might help, but you're basically tugging on the rubber "shell" of the wire, inside that is the actually metal wire that connects to the release mechanism.
See how it runs down and around to the other side of the mechanism...I don't know if that illustration helped, but it might give you an idea on a different way to approach it.