This is such a pretty name, whether it's written or said out loud. It's so delicate, but also very intelligent and refined. I think Airi sounds equally pretty when it's said in the proper Japanese pronunciation: "Ah-ee-ree", or in an American accent: "eye-ree" or "air-ee". Therefore, Airi wouldn't be a bad name to use outside of Japan as well as inside.
If used in nickname-form-- "Airi" is unbelievably tender and sweet. While, yes, it may have it's roots as Japanese I find it acceptable to use in other cultures (diminutive, of course). I certainly would consider it as a shortened everyday call of the Italian "Aurelia." The pronunciation... Perhaps I would Italian-ize it to "Ah-Ee-Ree"? A simple "Air-Ee" could function, though.
I like this name. It's sweet. I have always wondered if Chinese names can be Japanese too, but I have never heard a Chinese name on a Japanese girl or boy and also vice versa, so I guess it's not possible, but either way, I still like this name, and I'm pretty sure this is only a girl's name, and that is the only gender I would even consider using it on is a little girl. I can't picture a little boy with this name, but who knows? Maybe it's possible, maybe it's not. But oh well, I like it for a little girl.