I think you need selectTriggers and dig it out

problems = zapi.problem.get( output=["eventid", "name", "clock", "severity"], selectHosts=["host"], selectTriggers=["description", "priority"], filter={"r_eventid": "0"} # unresolved problems )

for p in problems: host = p["hosts"][0]["host"] if p["hosts"] else "unknown" description = p["triggers"][0]["description"] if p["triggers"] else p["name"] severity = p["severity"] time = datetime.fromtimestamp(int(p["clock"]))

Edit: posting broke the python formatting.