A more detailed info will be much appreciated thenhead to the actual bank myself and check their offerings,
Would you evt. mind sharing the jurisdiction of the bank even now?
I can confirm that the cards from Kazakhstan can be obtained without residency. If you want a physical card, you may want to go there to pick it up.
Quite some US cards can be obtained without any residency requirements (all that accept ITIN). A local address is an advantage as most systems only work domestic. You may want to use some hotel to live.
Don't you need an IIN from NJSC/PSC first, to open an account there?
Just for the explanation to the general public, @cryptofriendly talks about Kazakhstan
NJSC is NJSC State Corporation "Government for Citizens" and PSC their contact centres. (BTW, does anyone know what PSC stays for? I guess it's an acronym, in Russian it is /romanized/ CON, it means Centre for servicing citizens... [Центр обслуживания населения] )