Early career and Italy Zima spent his junior years in the academies of MFK Nové Město nad Metují,
Hradec Králové,
Slavia Prague, and
Genoa, respectively. He made his senior debut on 23 March 2014 while on loan at
Reggiana, in a 2–0 home win over
Como in the
Serie C. Zima spent the majority of the following five years on loan at various Serie C and
Serie B teams, before
Livorno exercised a full transfer option in July 2019. In August 2020, Zima was re-signed by Genoa as a
free agent, but once again failed to record his official debut for the club.
VVV-Venlo On 13 July 2021, Zima signed a two-year contract with Dutch side
VVV-Venlo. He amassed 24 appearances in the
Eerste Divisie during his stint.
Petrolul Ploiești After the expiration of his deal with VVV-Venlo, Zima joined Romanian club
Petrolul Ploiești on 20 June 2023. In
his debut campaign, he made 39
Liga I appearances and kept the second-most
clean sheets (12, shared with
Adnan Golubović).
FCSB On 17 October 2024, fellow Liga I team
FCSB agreed a deal in advance for the transfer of Zima in the winter
transfer window. He signed a three-year contract for a fee worth €250,000 plus bonuses. Zima made his debut on 13 March 2025, starting in a
UEFA Europa League round of 16 match against
Olympique Lyon, which ended in a 0–4 away defeat (1–7 loss on
aggregate). His only Liga I appearance occurred in the final 1–1 away draw with
CFR Cluj on 23 May, securing him a league champion medal. ==Career statistics==