Kuznetsov is currently buried in Lviv, Ukraine. Since 2003, several unsuccessful attempts have been made to rebury him in Russia. A 2007 attempt was stopped by the Russian Foreign Ministry, which claimed that "such a move would open a kind of Pandora’s box and give Ukrainian nationalists a reason to launch a campaign to transfer other graves of Soviet soldiers buried in Ukraine." An 2018 attempt was prevented by the Lviv authorities, who claimed that such a reburial could not be considered while Ukrainian prisoners were being held captive in Russia during an ongoing Russian military intervention in Ukraine.