Final answer:
The best method to evaluate the patient's achievement of the outcome is to have the patient perform a return demonstration of the procedure.
Step-by-step explanation:
The best method to evaluate the patient's achievement of the outcome of being able to safely self-administer enoxaparin subcutaneously upon discharge is to have the patient perform a return demonstration of the procedure. This allows the nurse to directly observe the patient's ability to correctly administer the medication. Other methods such as the patient's ability to recite the steps involved in self-administration, confirmation by family members, or the patient's verbalization of understanding the medication instructions may provide some indication of the patient's knowledge, but they do not provide direct evidence of the patient's ability to perform the procedure.