All arrows should be carried safely in a covered quiver. Covered quivers are a convenient and easy way to carry your arrows, giving you quick access while protecting the broadheads and preventing injury. Most quivers are also used to protect the arrows from damage, and to secure the arrows tightly to minimize noise when carrying them in the field.
Safety first! A wooden arrow cannot handle the extreme pressure of a compound bow. It could shatter, causing damage to the bow and possibly injuring someone.