Aliev is married to Nazarbaev's eldest daughter, Darigha.
Kazakhstan's Interior Ministry announced on May 28 that it had issued a warrant through Interpol for Aliev's arrest.
He is wanted for the abduction of two officials in January -- a charge he denies.
Aliev also is being investigated for alleged links to organized criminal groups and illegal business activities.
Aliev was Kazakhstan's ambassador to Austria until May 26 when he was dismissed from that post.