Atzili made his senior debut on 30 July 2011, coming on as a 77th minute substitute in a 2–1 home win against Hapoel Be'er Sheva, during the Israel Toto Cup for the Israeli Premier League clubs.
[13] Atzili scored his first senior goal in the Israeli Premier League on 12 May 2012, in a 2–1 home loss against Hapoel Acre;[14] his side also suffered relegation in the end of the season.
He subsequently became an important unit for the club in Liga Leumit, scoring six goals as his side missed out promotion in the play-offs; highlights included a brace in a 2–2 draw at Maccabi Petah Tikva on 10 May 2013.
[27] On 23 August 2022, Atzili assisted his team's last qualifying goal during their 2022–23 UEFA Champions League Play-offs second leg against Serbian side Red Star Belgrade, with a 90th minute free kick that made a rival player score an own goal, earning Maccabi Haifa a 2–2 away draw[28] (5–4 on aggregate),[29][28] and a place in the UEFA Champions League Group Stage.
[30] On 11 October 2022, Atzili scored both his first and second Champions League goals, by netting a brace in a 2–0 home win over Italian side Juventus, to be his club's first victory in the competition since the 2002–03 season.
[32] On 14 June 2023, he signed a three-year deal with UAE Pro League club Al Ain, becoming the first Israeli Jew to play in an Arab country.
Prior to accepting the transfer, he had specific requests related to his faith, Judaism, allowing him the freedom to abstain from playing or training during various Israeli and Jewish holidays and memorial days.
[37] Atzili was first called-up to the Israeli senior national team on 31 August 2016, for a 2018 FIFA World Cup qualifiers match against Italy.