Suleymanov made his debut in the
Russian Professional Football League for
FC Krasnodar-2 on 12 March 2017 in a game against
FC Angusht Nazran. He made his debut in the
Russian Premier League for
FC Krasnodar on 16 July 2017 in a game against
FC Rubin Kazan. In his second main squad appearance on 27 July 2017 in a
2017–18 UEFA Europa League third qualifying round game against
Lyngby he scored the winning goal in the 93rd minute, giving his team a 2–1 victory. He thus became the youngest Russian player ever to score in UEFA's club competitions (at the age of 17 years 7 months and 11 days), beating the mark set by
Sergey Rodionov in 1980. In his first appearance of the 2018–19 season on 26 August 2018 he scored his first
Russian Premier League goal, an 88th-minute equalizer in a 1–1 away draw against
FC Orenburg. In the next game on 1 September 2018, he scored another goal in added time, giving Krasnodar a 2–1 victory over the reigning champions
FC Lokomotiv Moscow. He scored again, for the third time in four games on 24 September 2018 against
FC Krylia Sovetov Samara. On 21 February 2019, he scored a late free-kick goal that helped Krasnodar eliminate
Bayer Leverkusen in the
Europa League Round of 32 on the away-goals rule. On 14 March 2019, in the Round of 16 return leg, he scored a late goal once again, this time against
Valencia, that would have qualified Krasnodar for the quarterfinal, but Valencia equalized with 30 seconds left in injury time and Krasnodar was eliminated. On 31 March 2019, he had his first Russian Premier League multi-goal game, scoring twice against his hometown club
FC Anzhi Makhachkala in a 5–0 victory. On 13 August 2019, with Krasnodar making its debut appearance in the
Champions League qualifiers, he scored twice in a 3–2 away victory over
FC Porto to help his club overcome the first leg 0–1 home loss and advance to the play-off round. On 8 September 2021, Krasnodar announced his loan to Turkish club
Giresunspor for the 2021–22 season. He returned to Krasnodar in June 2022. On 17 August 2022, Suleymanov joined
Hapoel Be'er Sheva in Israel on a season-long loan with an option to buy. On 3 July 2024, Greek club
Aris where Suleymanov played on loan in the 2023–24 season, announced his permanent transfer to Aris. On 3 February 2025,
Major League Soccer club
Sporting Kansas City signed Suleymanov to a two-year contract through 2027, with a club option for 2028. ==Career statistics==