Teddy was shown the red card by referee Mike Riley for an alleged punch thrown at Ipswich Town defender John McGreal on December 22.
The striker denied throwing a punch and insisted he was ony pushing McGreal away.
However, the Mirror quotes a spokesman from the FA: "Teddy Sheringham's appeal has been rejected. Teddy Sheringham's three-match suspension is therefore confirmed."
The Mirror and Express both carry reports that Teddy Sheringham's appeal against a three-match ban has been turned down by the FA.