Things that need to be considered are:
1. The QP is linked to a European Manufacturing authorisation.
2. If the "QP" is an employee of a company outside the EU, he/she is not employed by a company with an European manufacturing authorisation and therefore can not act as a QP.
3. There is no such thing as a certification to be a QP. A QP is registered by the authority of the respective EU member state.
It is normal practice for a product manufacturer in a third ry to have an EU-based importer who can provide the services of a QP? This EU-based QP would assess and certify a product/batch imported into the EU.