The Mobile Apps will support all sorts of payment & shipping methods available on your website. The payment page on the mobile app is the same as the web view page of your website.
Additionally, the module also offers PayPal & COD native payment methods. In case of any specific payment method to be added in the app only, it would be done over a fair price.
For more detailed info, drop your message at firstname.lastname@example.org. Our pro-active support team will assist you with everything.