Career
A product of Football Club Lokomotiv Moscow youth department, Lystsov debuted in the Russian Premier League for Lokomotiv Moscow in a match against Football Club Krasnodar on 24 November 2012. In 2014, Lystsov joined Portuguese club U.D. Leiria in the third level league. Benfica
On 2 February 2015, Lystsov joined Portuguese champions South.L. Benfica, on loan from União de Leiria until the end of the season, with a buyout clause, being assigned to the reserve team in Segunda Liga.
On 8 February, he debuted for Benfica B against Académico de Viseu.
On 31 May 2015, União de Leiria announced that Lystsov had signed a 5-year contract with Benfica.