I can't really answer for the Armenian side but I'll answer as a Greek. The question contains a false assumption, that “Greece is against Turkey”. Greece -as a country- does NOT hate Turkey and doesn't take any major action nor does it make any threat against it. Period. read more
Greece–Azerbaijan. I don’t think Greeks know enough about Azeris to hate them. I’m assuming vice versa. Greece–Turkey. Ah, Greece–Turkey. The reason is not just Cyprus or the Istanbul pogroms or the massacres in Chios and Tripolitsa. read more
However, Azerbaijan and Armenia technically in war. All these countries (except Turkey and Azerbaijan) don't share anything. All these people can not live together and the country is not able to survive for long. Population: Turkey (79M), Azerbaijan (10M) and Greece (11M) will be dominant power. read more