H1 to H4 back to H1

[Prina]

Hi,

I had an approved h1b in 2015 and it was valid till 2018.however, in 2016 I changed my status to h4. I was on h1b for 8 months. Meanwhile my employer terminated my h1b in the same month that I applied for my change of status to h4. I got my h4 approved till 2019.

My question is do I stand any chance of being cap exempt if  employer B files for my h1b in future or should I go through the lottery system again? 

[cap-gap]

You qualify for cap exempt

[pontevecchio]

It is not chance. It is the existing law. You can claim the remainder 5years and 4 months of H1 status by having an employer filing and getting a H1 petition approved for you non cap with no single period more than 3 years.