An assembly for restoring a gastroesophageal flap valve includes a restoration device substantially free for rotation. The assembly comprises an elongated member configured to be fed through a throat, down an adjoining esophagus and into an associated stomach. The elongated member has a distal end. The assembly further comprises a gastroesophageal flap valve restoration device carried on the distal end of the elongated member for placement in the stomach, and an invaginator carried by the elongated member. The invaginator is configured to grip the esophagus and the elongated member and invaginator are coupled for restricted relative axial movement and substantially free relative rotational movement.