Most states do not allow credit card payments from tax preparation software. If you choose to pay by credit card on the state website, then in TurboTax just select your method of payment as mailing a check. Then e-file your state tax return and do not send the check.
You will need to go to the state website if you want to pay the state taxes owed by credit card - https://www.ftb.ca.gov/online/CCard.shtml
