From wiktionary: Verb migrate (third-person singular simple present migrates, present participle migrating, simple past and past participle migrated)

(intransitive) To change habitations across a border; to move from one country or political region to another. To escape persecution, they migrated to a neutral country.

This is already common usage and I don’t see the need for any prefixes to the word. The Etymonline definition is giving the definition of the root, not the current english word.