There may be one or two, but most people that program Z80 here do so for the 83+ Series. The TI-83 is almost never seen in the U.S anymore.

I tried this, but the Ti said I used bad Reglines, so I think that some memories slots ( slots ?) does not exist on the Ti 82 stats

EDIT : you're sure that there isn't any converter ? so I must change my file manually, but I never learned no any ASM (calculator, PC, shower ...) ... If I haven't choice, is anybody who can do it ?

Nope no converter, because since I joined the TI community in 2001, everybody has been doing it manually. However, the Z80 Unification FAQ on ticalc.org might help porting games between each platforms. http://www.ticalc.org/archives/files/fileinfo/369/36923.html

I remember MirageOS used to have TI-82 emulation, but it barely even worked, so the authors removed it. Not sure if a proper emulator or converter could be written, because as someone mentionned above, some instructions and stuff are not available on each platform.

As for Axe Parser, the only way a TI-82 and 83 port could be done is if the compiler was for the computer. Someone would write his program on the computer or his calculator then convert the Axe source to a 82p or 83p file. It would be limited by the on-calc RAM, although I think on those calcs there's no need for Crabcake/Fullrene.