I voted no. Disclaimer: I am not at all a fan of anime, and don't consider myself very knowledgeable about it either. I do think there's a possibility that it could be done well.
When you're approaching graphic art, you have to think of the art style that would best fit the world. I don't think any form of anime, realistic or stylized, would serve Artemis Fowl well. On the realistic side of things, it wouldn't be capable of bringing out the magic in a satisfying fashion, simply because realistic anime deals in the bare bones of the style. On the stylized side, the series' depth and complexity would be downplayed because there would be a lot of exaggeration in the characters' emotions, conflicts, and desires. The problem is, if we molded anime to fix those problems, the vitality of the art form would be reduced. Committing to a style is very, very important, and by compromising some of anime's characteristics, we would be losing that commitment.
I can't really think of an alternative art form that would suit the world better. In fact, I'm not sure I want to. I think passing it on to a really creative artist, or team of artists, who can interpret the world as accurately as possible in a way I haven't ever seen before would be the best. It would give Artemis Fowl a unique place in animation, just like the series has a unique place in literature.
Also, I really don't care who it appeals to as long as it stays true to the books.