That is incorrect.
There are 2 ways, depending on whether you are in the US or outside the US.
As you are outside the US, the petitioner (employer) files the H-1B petition (I-129, etc.) and the USCIS issues an approval (I-797, Notice of Action). You then take that approval notice and apply for the visa at your home consulate, if issued, you use that for admission to the US. You will be given an I-94 annotated H-1B and you are then authorized for employment with that company.
If you are inside the US, then the company files the H-1B petition (same as above), but request the change of status, from your current immigration status (L-1?). If approved, then the I-797 with the newly annotated I-94 serves as evidence your employment authorized status.
I hope that this is responsive to your inquiry. You should find an immigration attorney to advise you further. Good luck.
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