I am a Swiss resident, do I have to pay French VAT? 

As a Swiss resident, you are not liable for French VAT which amounts to 20%. When the chosen shipping country is Switzerland, the price including VAT displayed on our site takes into account a VAT of 0%, i.e. a price excluding VAT. You will have to pay the taxes in force in Switzerland upon receipt of your order. This process is managed directly by the carrier.
Please note that this case is only valid for orders shipped to Switzerland.