Liverpool, Tottenham and West Ham are all reported to be interested in the France international although the Hammers appear to be in pole position.
However, the sticking point remains West Ham's desire to pay any transfer fee in four annual instalments, while the Ligue 1 club are asking for the cash upfront.
"For the moment it's the same status quo, but if Liverpool make an offer things will be done swiftly," Stellardo told L'Equipe.
"The amount (offered by West Ham) suits me but not the payment method.
"West Ham want to buy Loic because they think he could rapidly be worth 10million euros more if he plays in England. They don't want us to pay the full sum all at once."
Remy is one of France's hottest talents and the 23-year-old scored 15 goals in 33 appearances last season.
Stellardo has announced, however, that any transfer fee received will not be used to bring in other players, although the club are in talks with Middlesbrough about another loan spell for midfielder Didier Digard, who spent the second half of last season at the Stade Municipal du Ray.