Its remains, consisting of parts of the snout and a neck vertebra, were found in the Șard Formation, near the city of Alba Iulia in Transylvania.

[1] In 2019, the type species Albadraco tharmisensis was named and described by paleontologists Alexandru Solomon, Vlad Codrea, Márton Venczel and Gerald Grellet-Tinner.

[2] The holotype specimen, PSMUBB V651a, b, was found in a layer of the Șard Formation, which dates back to the latest Maastrichtian, about 66 million years ago.

This was deemed improbable, however, because the holotype bone structure resembled that of subadult animals, not of fast growing young individuals.

[2] A more specific placement was made in a 2021 phylogenetic analysis by American paleontologist Brian Andres, where he found Albadraco in the smaller clade Azhdarchinae, close to the azhdarchids Aerotitan and Mistralazhdarcho.

Azhdarcho lancicollis Albadraco tharmisensis Aerotitan sudamericanus Mistralazhdarcho maggii Aralazhdarcho bostobensis Phosphatodraco mauritanicus Eurazhdarcho langendorfensis Zhejiangopterus linhaiensis Wellnhopterus brevirostris Cryodrakon boreas Hatzegopteryx thambema Arambourgiania philadelphiae Quetzalcoatlus lawsoni Quetzalcoatlus northropi Cladogram by Ortiz David and colleagues (2022).

Eurazhdarcho langendorfensis Phosphatodraco mauritanicus Aralazhdarcho bostobensis Zhejiangopterus linhaiensis Azhdarcho lancicollis Arambourgiania philadelphiae Aerotitan sudamericanus Mistralazhdarcho maggii Hatzegopteryx thambema Albadraco tharmisensis Cryodrakon boreas Thanatosdrakon amaru Quetzalcoatlus lawsoni aff.