You should consider the noun purged, but before you do, also consider the Great Purge, which is described as
a campaign of political repression in the Soviet Union orchestrated by
Joseph Stalin from 1934 to 1939.
This involved the repression or prosecution of people considered counter-revolutionaries and enemies of the people by the leadership of the Soviet Union.
So the word repressed may suffice, but it doesn't have the same sense as purged, where a purge is
an abrupt or violent removal of a group of people from an organization or place.
You obviously also considered how the verb persecute works here, but even persecute does not carry the full meaning of being removed as purge does. (Otherwise persecuted rather than persecutee would be the right form of the word.)
Using the word purged as a noun is useful if you are describing a number of people (The purged were sent to the Gulags). But when describing an individual, it doesn't work. (He was one of the purged. or simply He was purged.) Repressed and persecuted would be used in a similar way.
Let's consider your own example of persecutee or purgee. While this form finds its way into common discourse, it still sounds rather tortured and/or legalistic, and in many cases, as I described above, a more natural sounding form already exists.