His name was Anatoliy Banishevsky. He was one of the best soviet players back in 60s. He was very famous for his goal he scored against Brazil on legendary "Maracana" stadium. It was a unique goal in the sense that it was a header from the distance of 40 meters!
He was offered many times to move to Kiev or Moscow, but he always refused to do so and spend all his career playing for "Neftchi", and thruthfully deserved his title of the best azeri footballer of the century.
There were other great players like Alekper Mammedov who scored four golas on San-Siro against "Milan" with legendary Gianni Rivera, and won championship titles with "Dynamo" Moscow. Iskander Djavadov - one of the top goalscorers of Soviet League in 80s, Igor Ponomarev - an olympic champion of 1988 games with USSR national team, and lots of others.
But it wasn't only about football, it was about spirit, and Banishevsky had it all - great skills and talent, great personality, loyalty to his club, and love for his hometown.
P.S. As far as Garry Kassparov goes, he is not an azeri. He was born in Baku from jewish father (Kim Vanstein) and armenian mother (Klara Kassparova). Later on he changed his last name from Vanstein to Kassparov (he took his mother's maiden name) because he was afraid of antisemitism.