Kartsev made his professional debut for
Maccabi Tel Aviv in Israel's
Toto Cup Al on 12 August 2017, coming on as a substitute in the 72nd minute for
Shlomi Yosef Azulay against fellow
Israeli Premier League side
Hapoel Ra'anana. He made his first appearance in the Israeli Premier League on 9 February 2018 while on loan at
Beitar Tel Aviv Bat Yam, starting in the away match against
Hapoel Nir Ramat HaSharon. On 12 August 2022, Kartsev agreed on a transfer with
Russian Premier League club
Dynamo Moscow, on loan with an option to buy. On 23 August 2022, the deal between Dynamo Moscow and Maccabi Netanya was cancelled due to the sanctions imposed on the Russian banks after the
2022 Russian invasion of Ukraine, the Dynamo Moscow payment did not reach Maccabi Netanya's account by the deadline specified in the contract, and then Kartsev returned to
Israeli Premier League club
Maccabi Netanya. On 30 January 2023, Kartsev signed a 4.5-year contract worth €2.25 million with Turkey's
Süper Lig club
İstanbul Başakşehir after the Turkish side agreed to pay Maccabi Netanya the €2.3 million transfer fee (highest transfer fee in the history of Maccabi Netanya). In January 2024, Kartzev faced a disciplinary investigation by his club over a social media post. According to Turkish broadcaster
TRT Haber, the player re-posted an image with the hashtag "#BringThemHomeNow" in apparent support of Israeli hostages being held in the
Gaza Strip during the
Gaza war. The
Turkish Football Federation referred Kartsev to the Professional Football Disciplinary Board for potential breaches of Article 42 of the Football Disciplinary Instruction, citing "ideological propaganda", for which an eight-match ban could be imposed. While Kartzev was discussing leaving
Başakşehir in a loan deal away from Turkey, an eight-match ban may apply worldwide. At July 2024, Kartsev was on loaned to
Chinese Super League club
Shenzhen Peng City. On 28 June 2025, Kartsev transferred to
Shenzhen Peng City permanently. ==International career==