In his latest video diary on the official website, Cardle thanked his mentor for doing a "wonderful job" and said that her effort had prevented himself, Paije Richardson and Aiden Grimshaw from being in the bottom two.
"I just want to say a big thank you to Dannii for being so amazing with the boys. I know she's super busy but she still has time, all the time for us," he said. "She's on the other end of the phone if we've got any problems or anything and she's in the studio getting right hands on.
"She's just doing such a wonderful job and it reflects in the fact that the boys keep coming through every Sunday."
He added: "That's got a lot to do with how Dannii and her team are being with us. We're all very, very appreciative of what she's doing - We love you Dan! Thank you so much."
Since the live shows began, Minogue has only lost one act - Nicolo Festa, who was the first person eliminated.
The X Factor continues on Saturday at 8pm on ITV1.
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