I would not bury the stem up to the green leaves,
the stem was where originaly it had green leaves too, so it' s a stem not a
root.
personally, i would not cut off the stem and let it create new
roots,
but plant it in a bigger pot, and maybe support it so it stands up a bit more straight.
i think it would set the plant back, and make it grow slower.
it seems to me the pot was too shallow, but i am myself still in the proces of figuring that out with an aloe i care for.
the oposite leaves remind me of too little light and the laying down of the plant too.
i am experimenting now with having a plant outside with more light
that's only since i have that oportunity now, before i had to work with the little light i had in my house.
Good luck!