can H1 holders apply for unemployment

No,

Infact technically speaking being on H1 and out of job means you are out of status hence need to leave the country...

Find a job as soon as possible apply for a new H1 don't even think in terms of employment benefits since you are exposing yourself to a much greater risk.

reval_wait
 
One of the requirements for getting unemployment benefits is "posession of unrestricted work authorization". That means h1, L1, etc. are ruled out. Only EAD, approved asylum/refugee status, green card and US citizenship are considered unrestricted employment authorization.
 
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