These vertebrae can be designated as belonging to the order Nectridea, a collection of long-tailed limbed vertebrates that also includes the famous "boomerang-headed" Diplocaulus.

Like other nectrideans, Arizonerpeton's vertebrae had a single main body (a pleurocentrum) fused to a plate-like neural spine jutting out of the top.

The flared rims of the front and rear surfaces of the pleurocentum possesses small structures which would have formed tongue-and-groove articulations with other vertebrae.

The only definitive feature classifying this genus as a nectridean lies in the fact that there are also two pairs of joint plates (zygapophyses) on each end of the vertebrae.

Vertebrae which are believed to have been part of the sacral (hip) region have shorter neural spines than those of the back, and are sightly titled backwards.