2019–2023
Kyva was an unsuccessful candidate in the 2019 Ukrainian presidential election, receiving a few thousand votes under the banner of the Socialist Party of Ukraine. He would later get elected as a member of the pro-Russian Opposition Platform — For Life list (number 34 on the list) in the 2019 Ukrainian parliamentary election. Kyva went on to host his own show on the ZIK TV channel, said to be controlled by oligarch and leader of co-chairman of the Opposition Platform Viktor Medvedchuk.
In December 2021 Kyva on the Russia-1 TV channel justified the 2014 Russian annexation of Crimea and advocated the merger of Ukraine with the Russian Federation. He declared that Ukraine should be part of the Union State with Russia.
On 23 February 2022, on the eve of Russia's invasion, Kyva claimed that Ukraine had been "soaked by Nazism" and needed "liberating" by Russia. Kyva expressed support for the invasion, claiming "the Ukrainian people need liberation" and that "Ukrainians, Belarusians, Russians are one people." Furthermore he stated that Ukraine was "enslaved and brought to its knees by the West, imbued with Nazism, and has no future." He blamed the war on Ukrainian President Volodymyr Zelenskyy and urged him to resign. In his 24 February 2022 televised broadcast announcing the Russian invasion of Ukraine Russian president Vladimir Putin claimed the goal of this "special military operation" was the "demilitarization and de-Nazification of Ukraine.
One month before the invasion, Kyva had left for Spain, before moving to Russia. On 3 March 2022, Kyva was expelled from the party and faction of Opposition Platform — For Life. On 6 March 2022, Prosecutor General Iryna Venediktova announced that Kyva was being charged with high treason, as well as infringing on Ukraine's territorial integrity, taking part in Russian war propaganda, and illegal weapons possession.
On 15 March 2022, the Verkhovna Rada deprived Kyva of his mandate as a People's Deputy.
On 17 April 2022, he wrote about a nuclear strike on Ukraine on his Telegram account, stating: "Zelensky, his entourage and Western curators, are most afraid of a Russian preemptive strike, weapons of mass destruction. This is what can put an end to today's confrontation, not only with the Ukrainian authorities, but with the entire West".
On 18 April 2022, it was reported that Ukraine's State Bureau of Investigations had opened a case of treason against Kyva for involvement in an illegal arrangement with a general of the Russian Armed Forces.
On 21 April 2022, in an open letter to Russian president Vladimir Putin, Kyva applied for Russian citizenship and political asylum.
Based on the analysis of videos published on his Telegram account, Ukrainian investigation platform Bihus.Info concluded on 20 June 2022 that Kyva had settled in the cottage town of Agalarov Estate, near the village Pokrovskoye in Moscow Oblast.
On 13 November 2023, Kyva was given a 14-year jail sentence in absentia by the Lychakivskyi District Court of Lviv for high treason and calling publicly for the occupation of Ukraine. Kyva was also sanctioned by the United Kingdom that year in relation to his actions during the war.
In Russia, Kyva frequently criticised Ukrainian authorities online and on Russian state television talkshows.