[2] Movsisyan was signed to a Generation Adidas contract and became the surprise of draft day, with the Kansas City Wizards (now known as Sporting Kansas City) selecting him with the fourth overall pick, the highest in MLS history for a player who did not go to a Division I college program or was not a U.S. youth international.

After one game being unused, Movsisyan finally made his debut, coming on as a substitute, in a 2–1 loss against D.C. United on 13 May 2006.

In September 2007, Movsisyan was traded to Real Salt Lake in a deal involving MLS SuperDraft picks and an international roster spot.

[3] Movsisyan made his debut on 17 September 2007 in a 2–2 draw against Los Angeles Galaxy and setting up a goal for Carey Talley.

At the last game of the season, Movsisyan received a red card, for the first time of his career, in a 1–0 loss against Houston Dynamo.

Having helped Real Salt Lake win their first ever MLS Cup championship that season after beating Los Angeles Galaxy 5–4 on penalties although he was substituted in the second half, Movsisyan left the club and joined Randers on 1 January 2010.

In Denmark he established himself as a powerhouse, playing a major role in the saving of Randers FC from relegation from the Danish Superliga.

He would score twice brace in a 2–2 draw against Amkar Perm and another goal and an assist for Dušan Anđelković in a 6–1 win over against Mordovia Saransk.

At the end of the season his team finished 4th which means they have qualified for the play-off round of the UEFA Europa League.

Simonyan wrote to Movsisyan, "Dear Yura, I hope that you win more titles at Spartak than I. I wish you success!"

"[16] On 15 January 2016, Real Salt Lake announced that it had signed Movsisyan as a designated player on loan from Spartak.

[18] Movsisyan was waived by Salt Lake for league roster purposes on 2 March 2018,[19] although he remained under contract.

[22] After sustaining a thigh injury which kept him out of the squad for several weeks, he left the club to continue his rehabilitation in the USA.

[23] On 26 November 2018, Chicago Fire announced that they had declined the option on Movsisyan's contract and that he would be leaving the club and be eligible for the 2019 MLS Re-Entry Draft.

[27] As of March 2016, Movsisyan had been indefinitely ruled out from representing Armenia by the head of Armenia's Football Federation (FFA), Ruben Hayrapetyan, as a result of his lack of commitment to national team play, following allegation of match fixing during the EURO 2016 qualifying campaign.

[28] As he participated in official FIFA competitions via European Qualification matches with Armenia, he is not eligible to represent the United States.