The Catholic Church in the (Trans)Caucasian former Soviet republics Armenia, Azerbaijan and Georgia consists solely of pre-diocesan Latin (missionary) and Eastern Catholic jurisdictions, which are all exempt, i.e. directly dependent on the Holy See (and its Roman Congregation for the Evangelization of Peoples for the Latin missions or its Roman Congregation for the Oriental Churches for the Eastern Catholics, notably Armenian),
without any ecclesiastical province or (national) episcopal conference, all but one (in Azerbaijan) transnational :
There are also an Apostolic Nunciature (embassy-level) to Azerbaijan, an Apostolic Nunciature to Armenia and an Apostolic Nunciature to Georgia (in national capital Tbilisi, into which both other are vested), as papal diplomatic representation.
(Armenian rite in Armenian language)
Only in Georgia :
(excluding mere predecessors of present jurisdictions)