If its AM or FM I'll agree with alvinl just solder it, the most that will happen is you lose a few feet(probably more like half a foot) of range. If you have any use some liquid electrical tape, or a small piece of heat shrink tube to cover the solder joint so you don't hit any metal with it by accident.

2.4ghz replace seeing the antenna is actually the little bit of silver at the tip, the wire prior to it is shielded, and will not function properly is the shielding is broken.