Reports have linked the 23-year-old with a move to Liverpool in the January transfer window.
Damien Comolli recently left St Etienne to become director of football strategy at Anfield and reports claim he is keen to bring Payet to Liverpool.
“Liverpool have not contacted us,” St Etienne co-president Roland Romeyer told France Football.
“We have built a roster for the season. There will be no departures during the winter transfer window. Should there be any movement, it would be the other way.
“Depending on injuries, for example, we could sign a player. But this is only a theory.”