The likes of Chelsea, Tottenham and big-spending Monaco have been linked with moves for Hulk this suummer as they looked to boost their attacking options.
Hulk joined Zenit last September in a £52million deal, but his future has been the subject of speculation for some time now.
The former Porto hit-man admits if he is to leave Zenit it will have to be for a better team than the Russian side as he is content at Zenit.
"Those approaches [by other clubs] do exist," Hulk told TV Paraiba. "There are clubs interested in me.
"But if I am to move, it has to be to a better place, with a better team in a better competition."
"I will be happy too if I stay. Zenit are a great club."