Liverpool hoped to take the Hungarian international on loan initially but that agreement did not suit the Russian side, while Inter pushed hard for Dzsudzsak but to no avail on transfer deadline day.
Dzsudzsak joined Dynamo Moscow from Anzhi Makhachkala in January 2012 and his agent Jozsef Voroshbani says that the 26-year-old is still a target for both the European giants
"Inter, along with Liverpool, wanted to see Balazs in their squad. The Italians were ready to sign Dzsudzsak, but Dynamo wouldn't let go of the player," he told a Russian daily.
"My client really likes it in Moscow, but he has a desire to try his hand in one of the top European leagues.
"I hope that in the summer, Dynamo will look at any details that arrive in a proposal for the player."