At present I am working in OPT ( expires in June 2020). I have an unused stamped H1B visa which I got in August’ 2013 and my visa stamped in my passport on August,2014. However I never traveled/ worked with this H1B visa and expired in October’2016 without using or entry. I came to USA in January’2016 in F1 Visa. My question is can I use this unused stamped visa for cap exempt as transfer of employer from F1 visa to H1B visa now? or do I need to apply in Master’s cap next year.
In your case if we counted from six years from August 2013 when your H-1B was approved, you are then okay or cap exempt till August 2019. But again, the policy has been that they count the six years from the date your H-1B expired which is 2014 not 2013. Policies can change overnight so I think you can apply for an H-1B exemption as an H-1B exempt worker.