Use local payment methods in conjunction with localization best practices to simplify payments for your international shoppers. But do so keeping in mind the full customer journey from acquisition and conversion through to activation and ultimately retention.
Domestic payment methods are a critical resource to optimize the key stages of transactional processes across the entire customer lifecycle. They fit in the complex puzzle of challenges that includes language and cultural differences, multiple currencies, taxation, user behavior particularities, device and form factor preferences, risk mitigation, legal and regulatory compliance, etc.
Just keep in mind that those so-called “alternative payment methods” can make international customers feel sufficiently “at home” in your shopping cart to result in successful purchases.