Final answer:
The statement that 'He should peel off any flaking skin' suggests a need for further teaching about proper sunburn care.
Step-by-step explanation:
When teaching about home care for an 8-year-old boy with sunburn, the statement from the parents that indicates a need for further teaching is: "He should peel off any flaking skin." Peeling or picking at the skin can lead to further irritation or possible infection. Instead, parents should be advised to allow the skin to heal and shed naturally. The use of cool compresses, NSAIDs like ibuprofen for pain and inflammation, and avoidance of hot showers or baths are all appropriate care methods for sunburn.