According to his agent Rudi Vata, Bilic is the man Pompey want after Dr Sulaiman Al Fahim bought the club.
"Slaven is open to offers and there is interest from Portsmouth," Vata told The News.
"There are different clubs who want him but he is very interested.
"Portsmouth have tried to get in touch, but there is no concrete offer at this stage.
"But the idea of working with and building the club would excite him.
"Slaven is hungry for the right club with the right ambition because he is a hungry manager."