Start with the guitar lead unplugged from the pod and check the noise level.

Now plug in the lead to the guitar and pod and turn up the volume.  Note the (presumably) increased noise level.

Now turn the volume all the way down.  Still noisy?  If so, it is probably a duff lead.

If not, turn the guitar back up.  Does it make a difference to the noise level if you are touching the strings or not?  If not, the bridge is probably not earthed and therefore neither are the strings.  The cable may be loose or non-existent.   You should sort this out but in the interrim, something  between the output socket plate and bridge (paper clip, wire strip, taped coin) should provide the necessary earth.

Really though ... you need to provide shielding for the guitar cavity.  If the the guitar is cheap then there is likely none.   There is lots that can be done around a shielded scratchplate and cavity to reduce noise.,  

There is a comprehensive guide to shielding here that you can cherry-pick stuff from.   How much of it you do depends on how bad the noise is and how quickly you lose the will to live!  http://www.stewmac.com/freeinfo/Electronics/Shielding/i-3789.html

Try moving the pod elsewhere in the room .  Local sockets, dimmers, striplights, AC units and similar can create noise too.  Also, remove the USB cable if connected.  Re-route any power and headphone cables too.

Noise ... love it !