Scherzinger appeared on the panel for the show's first season but confirmed in January that she will be not returning.
Earlier this month, Fox announced that Britney Spears and Demi Lovato will fill the spots left by Scherzinger and the other departing judge, Paula Abdul.
Scherzinger has now been asked by E! News whether she will be tuning in to the new episodes.
"I don't watch a lot of television," she said. "I'll try to catch it when I can, though. I'm rooting for them."
Scherzinger continued: "Of course [I'm rooting for them] - why wouldn't I? Yeah, of course I would. So I wish them the best of luck and I'm excited for them."
Scherzinger has previously suggested that she was dropped from The X Factor because Simon Cowell was "afraid" of her.
The new season will premiere this fall on Fox.
Watch Nicole Scherzinger talking about The X Factor below: