Born in Kirkuk, Iraq, Rashid joined Feyenoord in 1999 from ZOB, an amateur club from Zuidoostbeemster. He spent more than a decade with the youth setup of the club and was part of one the most promising crop of players to ever graduate from the academy in recent years. Other graduates included Stefan de Vrij, Jordy Clasie, Bruno Martins Indi, and Luc Castaignos amongst others. Rashid suffered an Injury in the 2009 UEFA European Under-17 Championship which prevented him from training with the first which he believes affected his chances with the first team. Rashid was not offered a professional contract once he turned 18 years old and therefore did not continue his career with Feyenoord.

In 2012, Wolfgang Sidka, a former Werder Bremen player who was coach of Iraq at the time, arranged a trial for Rashid at the Bundesliga club. He was invited for another trial and was ultimately offered a contract by Werder Bremen, which he turned down citing his desire to finish his studies. Rashid has since stated that negotiations between Feyenoord and Werder Bremen had failed even though Feyenoord were not entitled to financial compensation.

In 2013, Rashid signed for Alphense Boys in the fifth tier of Dutch football. Having played 34 matches in which he scored 15 goals, he left the club at the end of the 2014–15 season to join SC Farense in Portugal.

Rashid signed for S.C. Farense in the second-highest Portuguese division. He made his debut on 8 August 2015 against Académico Viseu. He scored his first goal against Covilhã on matchday 7. Rashid was a regular in the team making league 41 appearances, scoring 6 times. He then received an offer from Bulgaria, allowing him to play in a top division of a country for the first time in his career.

Rashid’s signing was announced by LigaPro side Santa Clara on 24 January 2017. He made his debut for Santa Clara as a second-half substitute in a match versus Gil Vicente on 12 February. He had his first start on three days later in 2–0 win against Cova Piedade and scored his first goal. The team finished the season in 10th position, missing out on promotion.