Zantedeschia variety designated GSCCPEPA is disclosed. The invention relates to the seeds of Zantedeschia GSCCPEPA, to the plants of Zantedeschia GSCCPEPA, to plant parts of Zantedeschia GSCCPEPA, and to methods for producing a Zantedeschia plant produced by crossing Zantedeschia GSCCPEPA with itself or with another Zantedeschia. The invention also relates to methods for producing a Zantedeschia plant containing in its genetic material one or more genes or transgenes and to the transgenic Zantedeschia plants and plant parts produced by those methods. This invention also relates to Zantedeschia varieties, or breeding varieties, and plant parts derived from Zantedeschia GSCCPEPA, to methods for producing other Zantedeschia varieties, hybrids, or plant parts derived from Zantedeschia GSCCPEPA, and to the Zantedeschia plants, varieties, and their parts derived from use of those methods. The invention further relates to hybrid Zantedeschia seeds, plants, and plant parts produced by crossing Zantedeschia GSCCPEPA with another Zantedeschia variety.