Assyriska FF Besara started his career with local club
Assyriska FF, where he made his senior debut in 2008, aged 17. He went on to play another four seasons with the side in
Superettan, the Swedish second tier, as a regular. During this period, he also won several caps for the
Sweden national U17's and
19's.
Hammarby IF On 27 January 2013, Besara transferred to fellow Superettan club
Hammarby IF, signing a three-year deal with the club. He had a difficult first season at his new side, since head coach
Gregg Berhalter regularly opted to play him out of position as a forward. Besara ended the season making 28 league appearances, scoring four goals, when his side finished 5th in the Superettan table. In 2015, Besara continued as a starter for Hammarby in Allsvenskan. On 13 April, in a
derby against
Djurgårdens IF, he scored the decisive goal in a 2–1 win through a spectacular back heel. Pundit
Jens Fjellström compared the move with those of the Swedish international
Zlatan Ibrahimović. He left the club in July the same year, halfway through the Allsvenskan season, being the club's leading scorer with five goals in 15 games.
Göztepe On 15 July 2015, Besara transferred to
Göztepe, recently promoted to the Turkish second tier
TFF First League. He made 15 competitive appearances throughout the campaign, scoring once, before terminating his contract by mutual consent in the summer of 2016.
Örebro SK On 11 August 2016, Besara signed a two-and-a-half-year deal with
Örebro SK in Allsvenskan. The following month, he faced his former side Hammarby and scored the equalising goal in
stoppage time, settling the score at 1–1. Besara chose not to celebrate the goal out of compassion for the supporters' of his old club. During the second half of the campaign, Besara played 13 games, scoring four goals, and helped Örebro to finish in 9th place in the Allsvenskan table. In 2018, Besara had a flying start to the season and was nominated as Allsvenskan player of the month in April, but missed out the award to
Jiloan Hamad from Hammarby. He ended the season scoring five goals and providing eight assists in 30 games, as Örebro finished in 9th place in the table.
Al-Fayha On 25 January 2019, Besara signed a six-month deal with
Al-Fayha in the
Saudi Professional League, with an option to extend the contact for another season. Besara scored three goals in 11 league appearances, helping the club to finish in 12th place in the 2018–19 table, just above the relegation zone.
Pafos On 20 August 2019, Besara joined
Pafos FC in the
Cypriot First Division.
Return to Örebro On 3 June 2020, Besara returned to Örebro on a free transfer, signing a deal for the remainder of the year. Throughout the campaign, Besara scored 12 goals and provided four assists in 29 games, helping the club to reach a 7th place in the Allsvenskan table, their best result since 2014. In October, he was nominated to the award Allsvenskan player on the month, that eventually went to
Ola Toivonen from
Malmö FF.
Hatta On 29 January 2021, Besara completed a move to
Hatta in the
UAE Pro League.
Third stint with Örebro On 13 July 2021, Besara returned to Örebro in Allsvenskan for a third stint, signing a three-and-a-half-year contract. The club was placed in the lower regions of the table at the time of his arrival, and Besara would prove unable to help the club from suffering a relegation to Superettan, despite scoring four goals in 17 games.
Return to Hammarby On 3 February 2022, Besara signed a two-year deal with his old club
Hammarby IF, returning to the Allsvenskan side after seven years. Besara featured in the final of the
2021–22 Svenska Cupen, in which Hammarby lost by 4–5 on penalties to Malmö FF after the game ended in a 0–0 draw. In Allsvenskan, Besara played all 30 fixtures, scoring 11 goals and providing 11 assists, the most in the whole league. At the end of the season, he was nominated for Allsvenskan Midfielder of the Year, an award that eventually went to
Mikkel Rygaard. Although, he was voted Hammarby Player of the Year by the supporters of the club. On 2 April 2023, Besara was appointed as the new club captain of Hammarby, replacing
Richard Magyar that had retired at the end of last season. The same day, he also signed a new three-year contract with the club, running until the end of 2025. In 2023, Hammarby disappointedly finished 7th in the Allsvenskan table, but Besara produced the most points in the whole league with 9 goals and 11 assists in 29 games. ==International career==