White tattoo

I'm planning to get a white tattoo on my wrist. I'm asian therefore my skin is not too fair and not too dark, so will a white tattoo show up on my wrist?

It's hard to say without seeing the exact pigmentation of your skin. I'm sure it will show up, but purely white tattoos are generally not meant to be extremely noticeable. I love them when people have they in kind of hidden places, like on the neck or behind the ears, so you just catch a peak occasionally. I would just go to the shop you're thinking about going to and ask them :)