Maccabi Petah Tikva Omer grew up in the youth ranks for
Maccabi Petah Tikva and made his debut for the senior side on 21 November 2006 in a
Toto Cup Al game against
F.C. Ashdod. Due to his speed and ball skills he was deployed in wide midfield mostly but later became the leading striker for Maccabi due to good goalscoring form. He made 146 appearances for Maccabi, starting 88 matches, with 58 substitute appearances and scoring 34 goals.
Hapoel Tel Aviv On 3 July 2011, Damari moved to
Hapoel Tel Aviv costing €1.5 million, where he signed a five-year contract with €3 million buy-out clause. Damari helped Hapoel to the
Israel State Cup during his first year at the club. He made 101 league appearances for Hapoel, scoring 56 goals in the process. During the 2013–14 season he scored a career high 26 league goals and 31 in all competitions. His fine play during the season led to interest from various clubs throughout Europe.
Austria Wien In July 2014 Damari signed with
Austria Wien. On 9 August 2014, Damari made his first appearance for the club scoring the opening goal for Wien in a 2–2 draw with
SC Wiener Neustadt. He ended the season scoring 10 goals in 15 appearances. in 2014
RB Leipzig In January 2015 Damari signed with
RB Leipzig of the
2. Bundesliga.
Red Bull Salzburg On 30 July 2015, Damari was loaned to sister club
FC Red Bull Salzburg for one season. Damari established himself as a starter for Salzburg but was limited to 16 league games due to injury in which he managed to score four goals and provide four assists. He helped the club to the league and cup title during his loan spell.
New York Red Bulls On 4 August 2016, Damari was once again sent on loan by RB Leipzig, this time to
New York Red Bulls. Damari made his debut for New York on 13 August coming on in the second half in a 3–1 victory against the
Montreal Impact. The following week, Damari scored his first goal for the club in a 1–1 draw against
Alianza F.C. in the
CONCACAF Champions League.
Maccabi Haifa On 12 January 2017, Damari signed a contract with Maccabi Haifa.
Hapoel Tel Aviv On 13 July 2018, Damari signed a contract with Hapoel Tel Aviv. ==Managerial career==