1
general::
Phrase(s): Could I leave a message? [and] Can I leave a message?
Can I request that a message be written down for a person who is not available to come to the telephone. • Bill: Can I talk to Fred? Mary: He’s not here. Bill: Could I leave a message? Mary: Sure, I can leave a message for him.
McGrawhill's American Idioms And Phrasal Verbs