Born in Voronezh and a product of FC Lokomotiv Moscow's football youth department, Lystsov debuted in the Russian Premier League for Lokomotiv Moscow in a match against FC Krasnodar on 24 November 2012.

Benfica on a season-long loan from União de Leiria, and with a buyout clause, being assigned to the former's reserve team in LigaPro.

On 2 September 2019, he signed a 3-year contract with the Russian Premier League club Krylia Sovetov Samara.

[12] On 14 September 2023, Lystsov returned to his former club União de Leiria, now competing in the Liga Portugal 2.

This biographical article related to a Russian association football defender born in 1995 is a stub.