Comedian Kathy Griffin has lashed out at foe Samantha Armytage, challenging the Sunrise host to a "cage match" to settle their differences.

The comedian, whose Australian tour launches in Sydney on Saturday, took offence to claims Armytage had labelled her as "unwell" following a recent run-in on the Seven morning show.

"She's been doing all these interviews... I kinda put her on the map," Griffin told radio hosts Kyle & Jackie O.

"I'm happy to challenge her to a cage match. Two dogs enter, one dog leaves," she said, adding she fancies her chances.