Final answer:
The appropriate action for the outpatient clinic nurse is to discuss the need for hospital admission to treat the neutropenia.
Step-by-step explanation:
The most appropriate action for the outpatient clinic nurse to take when a 30-year-old man with acute myelogenous leukemia develops an absolute neutrophil count of 850/µL while receiving outpatient chemotherapy would be to discuss the need for hospital admission to treat the neutropenia. Neutropenia, which is a low neutrophil count, puts the patient at high risk for infections. Hospital admission would allow for close monitoring and administration of appropriate treatment to prevent complications.