This is the 4275th most frequent Russian word.
азербайджанского
"Of Azerbaijani" or "Azerbaijani."
Here, 'азербайджанского' is used as an adjective derived from 'Азербайджанский' to specify the type of language being referred to, namely the Azerbaijani language.
Я познакомился с учителем азербайджанского языка.
I met a teacher of the Azerbaijani language.
In this example, the word 'азербайджанского' describes the craftsman, identifying their nationality or origin.
Этот ковер ручной работы произведён азербайджанского мастером.
This handmade carpet was produced by an Azerbaijani craftsman.
Here, 'азербайджанского' describes the people, linking them to Azerbaijan and emphasizing their shared cultural and historical background.