The idiomatic expression "Out of the Country" means to be absent from one's own land, or in other words, not currently physically present within the borders of their native nation. Full definition
I purchased it for my brother who is currently traveling out of the country for 5 weeks and needed something to carry his documents / cards / passport / cash in. (amazon.com)
He had been travelling out of the country for an extended period of time. (cravingsofalunatic.com)
If your ex insists on moving out of the country with your daughter, the only way to legally stop her is to get a court order preventing her from going. (karencovy.com)