Can you tell me if it broke at the inside lever? If the lever broke and the cable is still attached under the hood, then you should be able to grab the small metal ball at the end of the cable with a pliers or a vise grips and while someone else pushes down on the hood, you should pull the cable inside. This should work.
If the ball on the end of the cable has broken, try to cut away some of the plastic cable cover until you can find some of the metal cable to grab with the vise grips.
If it is broken under the hood, you should be able to pull the grille out enough to find the cable and release it from it's retainer and then pull the cable to release the latch.
If none of this works, you will need to unbolt the latch that holds the hood down.
Hopefully the handle broke inside and you can use the vise grips trick with an assistant.
Note: Make sure you lube the latch with white lithium grease to prevent this from happening again. A binding latch puts more stress on the cable.
If this is the information you were looking for, please make sure to click the "Accept" button so I may receive the credit for helping you today. Positive feedback is always appreciated.
Thanks for using Just Answer.
Here's the cable replacement document. This should give you an idea of what area you need to get to.
The grille is just clipped in with retainers. If you pull straight forward on the grille, you should be able to get it out far enough to get you hand up to the latch area. It may not be easy, but it should work.
Hood Primary Latch Release Cable Replacement Removal Procedure
Important: Block the hood latch in order to prevent the hood from locking until you have installed the hood latch release cable.
Use a flat-bladed tool in order to release the clip and lift the cable assembly from the primary latch.
Pry open the clips with a flat-bladed tool.
Guide the cable through the cowl panel underneath the instrument panel from the inside of the vehicle.
Notice: Refer to Fastener Notice in the Preface section.
Tighten Tighten the hood release cable and the lever bolts to 9 N·m (80 lb in).