Appease fully is a phrase that suggests the act of satisfying someone's demands or needs completely. Synonyms for this phrase include satisfying, satiating, and gratifying. Other options include fulfilling, quenching, and pacifying. Satiating implies a complete quenching of a need or desire, while satisfying suggests a fulfillment of expectations. Gratifying implies a pleasurable feeling of accomplishment when someone's needs are met. Fulfilling connotes an act of completing a task or achieving a goal, while quenching and pacifying suggest the act of calming someone down by meeting their needs. Whatever synonym you choose, the result is the same: a satisfied person with their needs met to a full extent.