French term (edited): d'emettre des reserves auprès du transporteur

or claims, should there be multiple problems

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Note added at 2 hrs (2010-01-23 05:34:51 GMT)
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US EN uses "claim" in this context - claim for (shipping) damages, claim for missing parts, etc.
"Customer should inspect all merchandise upon delivery of shipment. Any visible damage should be noted on the freight bill and signed by the person making the delivery. All freight claims should be filed immediately, regardless of the extent of damages." http://www.officedr.com/terms.htm

French term (edited): d'emettre des reserves auprès du transporteur

or "freight bill" as in TA's proposal.

A réserve is, as the word suggests, a note that there MAY be a problem. If you notice at the time of delivery that a package is damaged or that one of the parcels is missing, you make a note of that, there and then, on the shipper's receipt you sign. Should you, upon opening a package, find the item is damaged or parts are missing, you can then make a claim and the shipper will have a hard time claiming that you did the damage yourself, post-delivery, since you noted the damage.

We tend to express this in a manner very different to that of the French.

Damage to a package can be REPORTED by a shipper, recipient, or by UPS. ...
www.ups.com/content/us/en/.../hlp/damage_process.html

Package Delivery. ... the extent of damage will be NOTED on the bill of lading. ... Each package must have a completed Shipping Authorization Form. ...
www.bsu.edu/purchasing/emptemplate/pkgdelvry/

CLAIMS POLICY
Visible Damage, Concealed Damage, and Missing Content Claims. Visible Damage is defined as any damage to the packaging that is identifiable without opening the package at the time of delivery. Concealed Damage is defined as any damage that is not immediately noticeable at the time the package is opened or when the product is first used. Missing Content is defined as any package that is missing product that the packing slip states is included. These types OF CLAIMS MUST BE MADE directly to TigerDirect Partsearch WITHIN FIVE BUSINESS DAYS of delivery. Any claims made after that time can not be honored. Please contact TigerDirect Partsearch at 1-866-921-PART (7278) to make such a claim.
http://tigerdirect.partsearch.com/Policies.aspx

Manquement refers to a missing item, i.e. one of a series of packages listed on the receipt since this is done at the time of delivery. Of course upon opening a package, esp. one that has been damaged, you might find there is a further manquement, i.e. a missing part.

Thus:
Should it be observed at the time of delivery that any of the items are missing or that the packaging has suffered damage, the recipient shall make a note thereof on the acknowledgement of receipt, in accordance with articles 105 and 106 of the (country?) Code Commercial in order to preclude subsequent dispute.

I take it this is not a French document since here it would refer to the Code du Commerce I think.

Although this is getting away from a literal translation, I think you'll find this is the more usual kind of expression commonly found in equivalent circumstances.

Once again, the absence of adequate surrounding context makes it impossible to know if this could fit or not — it all depends so much on what type of companies are involved, and what type of merchandise.

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Note added at 6 hrs (2010-01-23 09:00:44 GMT)
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Note that a common expression in similar terms in EN is:

"Goods should be signed for as 'unexamined'" — although this appears to be stating the opposite, it in fact means that the recipient reserves the right to complain later about damage not noticed at the time of delivery; i.e. if you sign as 'examined', then it means you have no comeback if damage is noticed subsequently.

"Émettre (ou faire) des réserves" désigne la manifestation, faite oralement ou par écrit par une partie, par laquelle cette dernière exprime son désaccord relativement au bien fondé d'une prétention et de son intention de faire valoir ultérieurement son droit en saisissant la juridiction compétente pour en connaître. La personne qui formule des réserves demande au tribunal qu'il lui en soit "donné acte", ce à quoi la juridiction saisie n'est pas obligée de faire droit.