Both clubs were keen on the Hungarian international in the winter window but his representative, Jozsef Voroshbani, has admitted that Dinamo were not keen on a sale.
"Inter, along with Liverpool, wanted to see Balazs in their squad. The Italians were ready to sign Dzsudzsak, but Dinamo 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, Dinamo will look at any details that arrive in a proposal for the player."