[citation needed] In 2011, the results of the primaries has been nominated as a candidate for deputy of the State Duma of the All-Russia People's Front for the party list of United Russia.

[1] On 3 December 2013, Zhuravlyov got into a brawl with Adam Delimkhanov, a fellow member of the State Duma and cousin of Chechen leader Ramzan Kadyrov, losing two teeth in the process and landing in the hospital.

[4] Delimkhanov allegedly instigated the beating in Zhuravlyov's 15th floor Duma office after becoming irate over a letter written by Zhuravlev to Prosecutor General Yury Chaika requesting an investigation into a monument erected to female heroes of the 18th century Caucasian War in the Chechen village of Khangish-Yurt.

[9][10] On 15 December 2021, Zhuravlyov appeared on the Russian television program 60 Minutes, advocating for the kidnapping and imprisonment of United States Congressman Ruben Gallego for his comments in support of providing arms and military training to Ukraine in the Russo-Ukrainian War.

"[15] Following the Russian government's recognition and invasion of the Donetsk and Luhansk People's Republics, Zhuravlyov called the move "a historical frontier, beyond which a fundamentally new era begins.

[17][18] On 22 February 2022, Zhuravlyov was sanctioned by the European Union along with the other 350 members of the State Duma in retaliation for the vote in favor of recognition of the separatist republics of Ukraine in violation of the Minsk agreements.