His father, Leonid Ivanovich Salyukov (1920-2006), served as a tank driver and attained the rank of major general during the Great Patriotic War.

His leadership extended to the Far Eastern Military District, where he served as chief of staff and commander of the 35th Combined Arms Army.

Subsequently, on December 10, 2010, he was appointed Deputy Chief of the General Staff of the Armed Forces of the Russian Federation.

Salyukov assumed the role of Commander-in-Chief of the Ground Forces of the Russian Federation on May 2, 2014, following a decree by President Vladimir Putin.

[1] In February 2022 Salyukov was added to the European Union sanctions list for being "responsible for actively supporting and implementing actions and policies that undermine and threaten the territorial integrity, sovereignty and independence of Ukraine as well as the stability or security in Ukraine".