He managed to score five league goals in his first season, helping PSV win the Eredivisie title.

Dzsudzsák scored his first hat-trick in a 6–0 victory against ADO Den Haag at the Philips Stadion on 5 February 2009 in the Eredivisie.

On 12 June 2011, Dzsudzsák was transferred to Russian Premier League club Anzhi Makhachkala for an undisclosed fee, signing a four-year contract.

I am eagerly looking forward to getting on the pitch with my new team-mates Roberto Carlos, Samuel Eto'o, Mbark Boussoufa, Diego Tardelli and others.

On 27 August 2011, in a match against, Rostov, he suffered a broken collar bone after a collision with an opponent, which kept him sidelined for the remainder of the season.

[17][18] He made his Dynamo debut on 9 March 2012 against CSKA Moscow, setting up a goal in 75th minute to help ensure a 1–1 draw.

[19] On the next matchday, on 25 August 2012, he played his most productive game in Russia at that point, scoring a goal and providing assists for two more in 3–2 victory over Lokomotiv Moscow.

[23][24] On 5 May 2013, Dzsudzsák scored his last goal in the 2012–13 Russian Premier League season against Krylya Sovetov Samara at the Stadion Metalurh in the fifth minute in a 2–1 victory.

[25] On 17 June 2013, Sky Sports published an article on Dzsudzsák's possible move to Liverpool or Inter Milan.

Dzsudzsák, however, did not tell his willingness to leave the club since he felt "good" at Dynamo and had an excellent relationship with his coach, Dan Petrescu, at the time.

[26][27][28] The 2013–14 Russian Premier League season was the least productive for Dzsudzsák since he scored only one goal on 24 August 2013 against Zenit Saint Petersburg at the Arena Khimki in the 64th minute.

[31] On the 17th matchday of the Premier League season, Dzsudzsák scored a goal and gave two assists against Amkar Perm at the Arena Khimki.

On 12 September, he scored his first and second Bursaspor goal, on matchday 4 of the 2015–16 Süper Lig against Gençlerbirliği at Bursa Atatürk Stadium.

[55] On 10 September 2013, Dzsudzsák scored his a goal wearing the national team's shirt in a 5–1 victory over Estonia in the 2014 FIFA World Cup qualification match at the Puskás Ferenc Stadium.

[56][57][58] On 11 October 2013, Hungary suffered an 8–1 record defeat at the Amsterdam Arena against the Netherlands;[59][60] Dzsudzsák scored the only Hungarian goal.

[61][62] On 11 October 2014, Hungary drew with Romania at the Arena Națională, Bucharest, in a UEFA Euro 2016 qualifying match; the equaliser was scored by Dzsudzsák.

[66] Dzsudzsák also played in the last group stage match in a 3–3 draw against Portugal at the Parc Olympique Lyonnais in Lyon, on 22 June;[67] he scored Hungary's second and third goal, thus helping his side in finishing at the top of group F. On 20 November 2022, he played his last match wearing the national team's shirt against Greece.

[73] Dzsudzsák offered €1,000 to the tournament Összefogás napja, which tributes to players who died young, including Miklós Fehér and Gábor Zavadszky.

[74] Dzsudzsák, along with Hungarian international Roland Juhász, offered HUF 1 million each to the victims of the Ajka alumina plant accident.

[75] On 13 April 2013, Dzsudzsák offered a HUF 3 million-worth medical device to the fund Szemem Fénye Alapítvány.