Šapić was licensed for the 2015–16 Serbian SuperLiga season, together with all other players of youth team, and he was given jersey number 65.

[8] In last days of the summer transfer window 2016, Šapić moved to Serbian First League side Sinđelić Beograd at dual registration until the end of 2016–17 season.

[2] Šapić made his first start for Čukarički in the 5th fixture of the 2018–19 Serbian SuperLiga campaign, in 1–0 victory over Proleter Novi Sad.

[10] On 8 September 2022, Šapić signed with the Russian Premier League club Torpedo Moscow.

[12] On 27 September 2023, Šapić signed with FK Zvijezda 09 in Premier League of Bosnia and Herzegovina on a contract until 30 June 2024.