A system and method for packaging devices having one or more coils of delicate tubing utilizing a peel-pouch package with a backing surface and a transparent cover sealingly adhered to form an envelope wherein the device and the coils of tubing are packaged. The packaging system provides for a single releasable interconnecting coil restraint that effectively binds the coils of tubing together such that any one particular coil is restrained from moving. The restraint has an end tab facilitating the release of the restraint such that the packaged coils can be quickly and easily removed and placed into use. The restrained coils of tubing are placed within a lining sheath prior to being placed within the envelope through the envelope opening in order to further protect the packaged system by rendering the envelope puncture resistant. A heat stake is applied to the packaged envelope at an opposite end from the envelope opening to effectively reduce the volume within the envelope so as to limit the movement of the contents therein. With such a packaging system and method, the individual tubes of the coils do not bend or kink and the coils remains free from tangling and intertwining during the rough treatment normally incident to worldwide shipping and handling.