On 19 August 2012, Dzsudzsák scored his first league goal for Dynamo Moscow in the 75th minute against Terek Grozny in the 2012–13 Russian Premier League season.
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.

On 30 September 2012, he scored in the Moscow derby against CSKA Moscow at the Arena Khimki in the 38th minute; the match ended in a 2–0 victory for Dynamo.
Dzsudzsák also scored in a home 3–0 victory over Rubin Kazan at the Arena Khimki in the 30th minute, on 1 December 2012.

On 7 February 2013, it was revealed that Liverpool failed to sign Dzsudzsák, a target of Liverpool manager Brendan Rodgers, during the January transfer.
According to József Vörösbarányi, Dzsdzsák's agent, Dynamo was not interested in selling him.

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.

On 17 June 2013, Sky Sports published an article on Dzsudzsák's possible move to Liverpool or Inter Milan.
József Vörösbarányi claimed that both Liverpool and Inter were among those clubs interested in Dzsudzsák.
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.
On 19 August 2012, Dzsudzsák scored his first league goal for Dynamo Moscow in the 75th minute against Terek Grozny in the 2012–13 Russian Premier League season. 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.
On 30 September 2012, he scored in the Moscow derby against CSKA Moscow at the Arena Khimki in the 38th minute; the match ended in a 2–0 victory for Dynamo. Dzsudzsák also scored in a home 3–0 victory over Rubin Kazan at the Arena Khimki in the 30th minute, on 1 December 2012.
On 7 February 2013, it was revealed that Liverpool failed to sign Dzsudzsák, a target of Liverpool manager Brendan Rodgers, during the January transfer. According to József Vörösbarányi, Dzsdzsák's agent, Dynamo was not interested in selling him.
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.
On 17 June 2013, Sky Sports published an article on Dzsudzsák's possible move to Liverpool or Inter Milan. József Vörösbarányi claimed that both Liverpool and Inter were among those clubs interested in Dzsudzsák. 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.
Balázs Dzsudzsák