Final answer:
The nurse should instruct the client to rotate patch application sites daily to maintain good adherence and prevent skin irritation.
Step-by-step explanation:
The nurse should include the instruction to rotate patch application sites daily when providing discharge teaching to a client with Nitroglycerine patches. This is because continuously applying the patch to the same site can lead to irritation and decrease the effectiveness of the medication. By rotating the application sites, the skin can have time to recover and maintain good adherence.