I sometimes buy essentially rootless divisions as a sort of "how good of an orchid grower can you be," challenge to myself.
I've done either potting or mounting with less roots than that. I once divided a plant into 6 pieces; I thought I was going to lose all of them, and now I find that I have six happily growing orchids of the same kind.

I put them in 2 inch clay pots with river rock, watered the hell out of them, and just stood back.
Alternatively, I mount them. I use: a cedar mount, moss and coconut cloth. I put a small lump of moss, place the bottom of the cattleya on top of the lump of moss, cover it with more moss. Then, cover that with the coconut cloth and tie it. I have brought back a bunch of orchids that were not doing well using this method. Good luck!