The future of Hulk with Zenit' St. Petersburg is in doubt following the dismissal of Luciano Spalletti.
Hulk has reportedly told the board that he wants to leave the club and has long been a target of Chelsea.
Zenit reportedly has £40 million asking price on Hulk.
Chelsea wants to add two forwards this offseason, with Hulk and Diego Costa being at the top of Jose Mourinho's list.
Agent Shandor Varga told the Izvestia newspaper that Hulk is ready to push for a transfer away when the window re-opens, with English his most likely destination.
"Despite the huge transfer fee required to sign Hulk, don’t rule out that he will move to one of the top clubs in Europe this summer," Varga said.
"English clubs still have the highest chance of signing him."