This hoop breaks down into 6 sections, each approximately 18" so it should easily fit in a suitcase
It IS a bit difficult to do, and one of the reasons I decided to return it, but you need to press on the little oval marks that are printed on the sections (which lie over the plastic buttons that release the sections). You may have to push back the foam covering if you are having a lot of difficulty, but a firm press and a fairly strong "pull" should release the sections.
The padding has a drawing of a circle that showed where you snapped the piece in place. Press the circle and pull the piece to unlock the section.
Press the area where the circle are and release pull apart. This should make it come apart for storage.
The "release" points are identified on the foam cover - push the point and pull the connection apart. It's a "click and push" to put together also!
I would assume that where the white oblong circles are you would push hard on the button underneath that spot and pull apart. I tried to do just that, but I was unable to push down and pull apart at the same time. It would take a man's strength to take it apart.
Push on the marked areas to depress the buttons that hold the sections together and pull apart.
where it show's the marks for when you push the button to put it together, just push in that spot and pull, it will come apart for you.