But Aulas doubts whether clubs, including Arsenal, could afford their asking price before the end of the transfer window.
“Financially, Arsenal are like everyone else [in a tricky spot amid the coronavirus pandemic],” he told Le Progres.
“And Houssem could say to himself that the best thing would be to stay with us.”
Memphis Depay and Moussa Dembele have also been linked with moves away from Lyon this summer, but Aulas has maintained his stance that at least one of their big three stars would stay.