The present invention relates in general to anchoring systems for occluder devices, and more specifically, to an anchoring system and method for implanting an occluder device within a left atrial appendage (“LAA”) of the heart. The anchoring system is configured so that an anchor penetrates the inner endocardium layer, middle myocardium layer, and outer epicardium layer of an LAA wall. The purpose of the present invention is to provide an occluder device anchor that has a low risk of embolization and/or causing injury to neighboring valve structures. An additional purpose of the present invention is to provide an anchoring system and method for implanting an occluder device within the LAA that allows for the occluder device to be retrievable after initial placement, reusable, and repositionable for an optimal final placement within the LAA.