Transfer ETH on Cronos chain

Hello, is it possible to transfer ETH from a crypto exchage (Crypto.com) to a hardware wallet with the Cronos chain? I see in the app that I can use the Cronos network but it always says "make sure that the receiving adress supports CRO network".

I want to use the Cronos network so I do not have to pay 10 dollar fee per transaction…

Any help much appreciated! Thanks in advance!!