Foreign residence is seen when there is a connection between 3rd, 4th and 12th house. Rahu and Saturn are main planets which cause displacement from Birth place. Lagna lord in 12th also shows foreign stay.
When 12th lord makes connection with 3rd 4th or 1st house, foreign residence is indicated.
Rahu is karaka for foreign land. When Rahu sits in 4th House, Home in foreign is indicated. When 4th Lord goes to 12th, Home will be in foreign land.