The Schalke chief has dismissed speculation that an imminent move for the Borussia Dortmund defender is about to take place
Reports in Bild have speculated the centre-back was in advanced negotiations for a switch to Veltins Arena, but Heldt has now poured cold water over those rumours.
"I want to have lots of players as I can well imagine, like Mario Gomez, but there has been no enquiry for Felipe Santana," the former Germany international said to Liga Total!.
"There is no contact between Schalke and Borussia Dortmund."
Santana, whose contract with the former German champions expires in 2014, also denied the suggestions on his Facebook profile.
He said: "Once again this topic. It's pure speculation."
Dortmund coach Jurgen Klopp admitted to knowing as little about a deal, but nevertheless left the door ajar for a bid when he told Sky: "Santana is a good boy. Whether it really is true, we'll see."
The 27-year-old stopper is behind Mats Hummels and Neven Subotic in the starting line-up but has 26 appearances this term, six of them coming in the Champions League.
His stoppage time goal against Malaga in the quarter-finals of Europe's premier club competition helped his side progress 3-2 on aggregate, where they will now face Real Madrid on Wednesday.