I have an American Snes Classic Mini and I was wondering if it was valid for a run that I downloaded the Japanese version to my Snes Mini and made the run that way?

Yes, very much so. That is my setup.

oh very good! Thank you very much, so if I download the Japanese version of Zelda 1.0 I won't have any problems

You won't have any problems with that, no.

thank you very much! for the response Requiem :D