Final answer:
The most appropriate thing to say is to remind the patient that they can call 911 again if they decide they need to be transported to the hospital. This respects the patient's refusal while ensuring they are aware that help is available.
Step-by-step explanation:
After a patient who is short of breath signs a refusal of service form, the most appropriate statement to make prior to leaving the residence is,
"If you change your mind at any time and want to be transported to the hospital, call 911 again."
This statement ensures that the patient understands the option for care remains available, emphasizing the patient's autonomy and the healthcare providers' readiness to assist if the patient's condition changes. It is important to leave the patient with a clear understanding of how to get help in an emergency. Leaving oxygen or suggesting home remedies could be considered inappropriate as at this point, if the patient has refused service, the healthcare providers must respect that decision while ensuring the patient is aware they can seek help again if necessary.