Shipping to Amazon Fulfilment Centre in France from the Uk

I was wondering if it's possible to ship my items directly from the UK to Amazon Fulfillment Centers in France without needing to use AVASK? I do have a UPS account which allows me to ship to france directly.

Or, if I still need AVASK’s services, could I get some guidance on how to proceed? I’ve already created the customs declaration on their portal , but I’m unsure what to do next.

From Amazon, I was able to create a shipment label to the AVASK sorting facility in the UK. However, it seems I also need to create another shipment label from the AVASK sorting facility to the FBA fulfillment center in France? I’m feeling a bit lost with the whole process, and it’s frustrating because emails and calls to AVASK customer service haven’t been helpful as they have not been responding.