The 20-year-old has been the subject of much speculation during the transfer window, with reports linking him with a big-money move to Arsenal this month.
But Heldt has moved to cool talk of a switch, insisting the club has not yet been contacted by any potential suitors.
"There are no offers from not a single club," he told Sky Sports.
However, Heldt also admitted to Bild that Schalke will have no choice but to sell their prized asset should a club meet his release clause, which is believed to be set at €45.5million.
"We are still hopeful Julian is to stay on at Schalke, however there are certain arrangements we cannot change," he added.
Draxler, who is currently sidelined with a ruptured tendon, has been open in the past about his desire to move on one day, telling Kolner Stadt-Anzeiger in October: "I can honestly say that it is my dream to play for one of the big clubs at some point."
