Q: How do I remove Payment method information without adding new payment method??

Obviously, you have to have payment information in the first place to you can't remove something that you don't have .... Correct? So assuming that you do have payment information in your iTunes account.

Settings>iTunes and App Stores>Apple ID

Tap your ID

Tap View Apple ID

Enter your password

Go to Payment Information in the popup window and select None as your payment method.

but for me doesn't apear that option only VISA , MASTERCARD AND AMEX, the option NONE doesn't appear

Check out this support document. Why can’t I select None when I edit my Apple ID payment information? - Apple Support