I did not purchase Apple Arcade (Automatic Renewal) do not charge me.

If you didn't purchase it, then why would you be billed?

This is a user to user forum, you are not addressing Apple Support here. Asking not to be billed here will not cause their subscription to be stopped or you not getting billed.

If you have an active subscription you don't want, you can cancel it yourself. Follow the steps in the support document linked below.

click here ➜ If you want to cancel a subscription from Apple - Apple Support

jgforshort wrote:

I did not purchase Apple Arcade.

Then you should not be billed for it. Why do you think you may be billed then?

If you have an active free trial for it, then you can cancel it by following the steps in the link provided above. Here it is again. click here ➜ If you want to cancel a subscription from Apple - Apple Support

Look for the subscription as explained in the link above, and cancel it if its there.

click here ➜ If you want to cancel a subscription from Apple - Apple Support

If it's not, it may have been a mistake or a scam by someone pretending to be Apple and you can ignore it.