With YITH Multi Currency Switcher for WooCommerce you can enable a multi-currency system in your shop and let your users see and pay for products in their own local currency.
The integration with YITH Request a Quote allows your users to add products to the quote list in the currency chosen from those available. The administrator will receive the quote request in the currency selected by the user.
After installing and activating both plugins, start setting your multi-currency options by following the documentation here.
This will allow showing different currencies from where users can choose.
The currency selected will be applied to the product and will be the one used for the quote request received by the administrator.