I'm a bit confused about your situation, but from what I understand, this is how it works. If you currently work for a company, the company sponsored you to get H1B and you already have one, you can transfer it as you start working for a new company. You need to wait until the transfer completes. If you just quit your current job, I think that you need to re-apply.
Depending on your budget, you may want to consult an attorney...
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