The 19-year-old is believed to be interesting several clubs in Italy, particularly Napoli.
And Nsereko's representative Dieter Heimen says the Barclays Premier League club, who sold striker Craig Bellamy to Manchester City earlier this week, have also thrown their hat into the ring.
"There are a few clubs currently knocking on the door and asking about his situation and West Ham is one of them," he told Sport Bild magazine.
"We have not started negotiations yet. The former general manager of Brescia (Gianluca Nani) now works at West Ham and therefore he knows him."
However, Heimen cannot see the talented teenager leaving Brescia this month.
The Serie B club offers the player the best surroundings to further mature and improve, according to Heimen.
"Savio should just keep playing and carry on this run he is on, increasing his self-confidence and then we will see where we are in the summer," he continued.
"He is concentrating on Brescia at the moment, but you cannot rule anything out in football."