Hi Mama Bear,
In general it’s usually best to check with a manufacturer about this (to make sure that it meets the warranty criteria) but an Octaspring will be fine on an adjustable bed.
Just in case you haven’t read it yet … the tutorial post here has all the basic information, steps, and guidelines that can help you make the best possible choice that is the most suitable for you in terms of PPP (Posture and alignment, Pressure relief, and Personal preferences) and what I call you personal value equation regardless of your budget range.
Post #3 here and the adjustable bed topic it links to may also be helpful in choosing an adjustable bed.
Phoenix