unfortunately, i have subscribed to this project and tried so many times to play the game but failed due to issues with the smart contract. it was a top quality project when it came out first but failed to meet target. i doubt if the kitties token has been on the exchanges. the point is where can we trade the crypto kitties token and has their been any update on the project. it is similar to Dogdata.
you can trade the kitties e.g. here:
https://opensea.io/assets/cryptokitties