H1 out of cap eligibility

Hello,

My petition was approved in Oct-2013 and my stamping was done in Nov-2013 and I have a valid visa till Jan-2016 however I never travelled to US after that and I now I want to change my Job, will my new company would be able to file out of cap H1 for me ?

Thanks

Yes, the new employer could file a cap-exempt H1B petition.