Draxler has been heavily linked with a big-money move this summer, with Arsenal, Chelsea, Manchester City and Real Madrid among those said to be keen on the 19-year-old midfielder.
Enquiries have been made and lucrative offers proposed, but Schalke have no need to cash in on a player who is under contract until 2018.
The Bundesliga outfit are delighted that Draxler is prepared to snub the overtures of others and are confident that there will be no high-profile departures from the Veltins Arena - with Farfan also expected to stay despite renewed interest in his services.
General manager Horst Heldt told BILD: "If there are further transfer enquiries for Julian Draxler, I will be fair to those clubs and reject them in a polite way.
"I have been a player myself but I have never been confronted with the money Draxler has during these transfer discussions. If I was him, to be honest, I would have thought things over. But he has made the right choice. It is great that he is staying at Schalke.
"It is not guaranteed that he will be on the move next summer, but we are experienced enough to know that there will be further enquiries in the years to come."
On Farfan, he added: "We are continuously receiving transfer enquiries for Jefferson Farfan, but we do not mind.
"We have no intention of selling Jeff and he has no clause to get out of his current deal."