In our experience, most foreign property buyers in Uzège pay cash. It is possible that try and arrange a mortgage with their high-street bank at home.
Because for foreigner without French-based income, getting a mortgage is tricky – whatever their net worth. It is not undoable, but it is complicated at best.
However, some providers are looking to address this niche market, most notably BNP Paribas International Buyers. Taking into account your nationality and the banking regulations of your home country, they may be able to help you – with a service in English second to none (interest only, variable, capped and fixed rate mortgages available for loans from €75,000, up to 85% loan to value).