Final answer:
The best initial nursing action would be for the nurse to establish trust and rapport with the client, taking into consideration cultural differences and being sensitive to the client's discomfort with direct eye contact.
Step-by-step explanation:
The best initial nursing action in this scenario would be for the nurse to establish trust and rapport with the male Korean-American client. It is important for the nurse to be sensitive to cultural differences and understand that direct eye contact may be considered disrespectful or uncomfortable in some cultures. To build trust, the nurse can start by using open-ended questions and active listening techniques to create a safe space for the client to express himself. The nurse should also demonstrate cultural competence and respect, which can include using appropriate non-verbal cues and allowing the client to share his concerns in his own time.