…is inside watch boxes and is used to support the watch inside the box, is often made of suede and acts as a wrist surrogate? Thank you

 

Pillow?

 

I don't think it has an official name but they're referred to as a "watch pillow" or a "watch cushion".

 

Thank you both! I was asking because I need a spare one.

Speaking of which… any pious soul who has a spare one he is thinking of parting with?

Thank you.

 

Not too many 'pious' souls here

 

Stop the press! I found a spare one in my Mary Poppins box.

 

Any chance you can you translate Mary Poppins Box into your language?

 

Thank you. I just needed a common name to use in my internet searches. Thanks for the information.

 

Velvet wrist substitute.

 

It is called....

Cette chose qui est à l'intérieur des boîtes de montres et est utilisé pour soutenir la montre à l'intérieur de la boîte.

(aka manchette)