Price, who is a panellist on daytime chat show "Loose Women," took to Twitter to put her name forward as a possible replacement for Olly Murs and Caroline Flack.
The two have quit just one season after taking over from Dermot O'Leary and who have attracted a great deal of criticism for their presentation style.
"I would defo present X Factor @ITV @SimonCowell @TheXFactor now that would be interesting," Price wrote.
"Celebrity Big Brother" presenter Emma Willis is currently the favourite to be named as Murs' and Flack's successors.