Hey Tony
Simply put, most trees can be coppiced - the only caveat to that being the conifers which cannot.
The determining factors for coppicing (in commercial terms) is the speed in which the tree is able to put up new shoots for use as material at a later date and the local area requirements for that specific coppiced material. Historically, woodlands reflected the needs of the local crafts.
Some trees such as Oak and Sycamore although they can be coppiced, are not particularly viable as their growth as a coppice is very slow. Traditionally they have always been used as standards (timber - as opposed to wood - trees).
The common coppice trees (wood trees) have been, for example, hazel, willow, sweet chestnut or ash. They are commercially viable because they are quick to throw up new shoots and their coppice rotation, in the case of hazel, is about 7 years. Therefore a woodsman would rotate throughout his woodland coppicing one 'coup' per year until, in year 7, he gets back to the original coup only to start over again.
All the best
Jamie