I don't know much about parallax mapping so I don't know how they are used but I always thought it was for environment textures and static meshes. I doubt they'd work well with characters, I'd imagine they'd create tears/errors along the seams. Although if anyone would like to give me more informati...

height maps?

He has Normal, Diffuse, Spec and Glow..

I could render a displacement map for him perhaps, but that would only work if the engine supports tessellation and if your graphics card supports dx11.