Early career Memushaj joined
A.S.D. Sarzanese Calcio 1906 when he was 17 years old. He helped the team finish second in
Eccellenza Liguria in 2006 and gain promotion to
Serie D. In the summer of 2008, he moved to fellow
Serie D side
Valle d'Aosta, where he played 34 games and scored 3 goals. On 10 September 2009, he signed for
Paganese to play in the
Lega Pro Prima Divisione after a trial.
Chievo and Portogruaro (loan) On 21 June 2010, he was signed by
Serie A side
Chievo Verona on a
free transfer. He was loaned out to
Serie B side
Portogruaro on 29 January 2011.
Lecce On 27 July 2012, Memushaj left Carpi and moved to
Serie B side
Lecce on a three-year contract. However, before he even kicked a ball for his new club, they were relegated to the
Lega Pro Prima Divisione after being expelled from Serie B for their part in the
Calcio Scommesse scandal. Memushaj scored his first goal for Lecce on 3 September 2012 in a 3–2 victory against
Cremonese. He scored his team's 3rd goal of the match in the 31st minute with a shot from 20 meters out. On 23 September 2012, he scored Lecce's third goal in its 1–3 victory at
Treviso, which took them to the top of the
2012–13 Lega Pro Prima Divisione League table.
Loan to Carpi On 27 July 2013, Carpi announced that they had signed Memushaj on loan from Lecce for the 2013–14 season of Serie B. This transfer happened shortly after Carpi signed the fellow Albania national team player,
Edgar Çani. This was his second spell with Carpi. He became a key player for Carpi and made crucial contributions each week, scoring regularly. His first goal during this spell at Carpi came in extra time of the 0–1 away victory against
Reggina on 28 September 2013. On 26 October 2013, he scored a goal against
Latina from the penalty spot at the start of the second half to give his team a 1–1 draw. On 21 December 2013, he scored from the penalty spot in the 72nd minute to give his team a narrow 1–0 victory against
Palermo. This victory resulted in Palermo surrendering first place to
Empoli. On 26 December 2013 he scored an equaliser at Virtus Lanciano before two further goals from teammates left Carpi three points away from the play-off zone for promotion to Serie A. He started 2014 with a goal to continue his excellent form from the first half of the season. He scored in the 20th minute of the first half against
Ternana at home on 25 January 2014, but this was not enough to avoid defeat. It was his fifth goal of the season and despite this defeat, his team were only three points away from the play-off zone for promotion. In the 2013–14 season, Memushaj played in total 33 Serie B matches in where he scored 8 goals. He also played in a single match for the
2013–14 Coppa Italia. On 6 May 2014, Memushaj tore a right knee ligament in a match against
Pescara and had to undergo surgery. He was unable to play for 6 months.
Return to Lecce Carpi did not accept the request of Lecce to buy Memushaj for a fee of €400,000, so he returned to Lecce.
Pescara On 1 September 2014 Memushaj signed for the
Serie B club
Pescara on 1-year contract. Due to the injury he suffered in May 2014, he missed Pescara's first 7 matches of the
2014–15 Serie B season. He made it his debut on 12 October 2014 by coming on as a substitute for
Gabriel Appelt Pires in the 87th minute against
Crotone; Pescara won the match, 1–4. He was an unused substitute for the next week match on 17 October 2014 against
Vicenza (1–1), but a week later Memushaj started in the match against his previous team Carpi, but the match finished as a bad loss with a 0–5 result. A week later, Memushaj scored his first goal for Pescara in a 1–1 draw against
Bari. On 27 December 2015, Memushaj scored the winning goal in the game against
U.S. Latina Calcio, but was subsequently sent off the pitch after kicking a microphone on the sidelines as part of his goal celebration.
Benevento On 28 August 2017, Memushaj was signed on loan with
Serie A club
Benevento until the end of the 2017–18 season with a purchase obligation at the end of loan. ==International career==