Not to mention that the US Government isn't about to approve amnesty to individuals fleeing France.
I believe asylum is only granted when the applicant has no other country willing to take them.
Asylum is granted if the applicant can demonstrate either past persecution (or the likelihood of persecution in the future) where that persecution is carried out on the basis of the applicant's race, religion, nationality, political opinion, or membership in a particular social group.
It does not matter (legally) if the applicant COULD be accepted in another country.
On the other hand, if the applicant DID ALREADY FIND refuge or permanent residence in another country and then came here and applied for asylum, it would be denied because the applicant had been "firmly resettled" in a third country, which would disqualify him.
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