While the three "panneaux sucettes" a Google Image search brings up are not like the traditional gas-station lollipop signs a GI search brings up in that the entire thing is taller and larger and the "stick" part is short and fat, they DO have a base that is somewhat narrower than the sign part, and in that they are not at exact match for (all) the definitions of "monument sign", but this, I think, is as close as you will get.

Monument Sign
A two-sided sign with an overall height of eight feet or less, standing directly on the ground or on a MONUMENT BASE OR WHERE SUPPORTING POLES OR STRUCTURES, IF ANY, ARE ENCLOSED BY DECORATIVE COVERS. A monument sign must be situated in a planter flanking all sides of the sign base.
[www.riversideca.gov/planning/genplan2025program/ draft-design-guidelines/Draft_Document/9_Glossary.pdf]

Monument Sign: Signage that is normally not attached to the building. Often located at best street exposure for Tenant Identification.
[http://www.azofficespace.com/Commercialrealestateglossary.ht...]

Monument Sign: A GROUND MOUNTED FREESTANDING SIGN identifying a multiple-occupancy development such as a shopping center, office building or planned industrial park, which has multiple suites, offices or tenants. A Monument Sign shall be a part of the signage regulated by a Comprehensive Sign Plan.
[http://www.fh.az.gov/Codes/Zoning/Fountain_Hills_Zoning_Ordi...] (with picture)

Monument Sign. A freestanding sign SUPPORTED PRIMARILY BY AN INTERNAL STRUCTURAL FRAMEWORK OR INTEGRATED INTO LANDSCAPING OR OTHER SOLID STRUCTURAL FEATURES OTHER THAN SUPPORT POLES. The width of the top of the sign cannot exceed 120% of the width of the base of the sign
[http://www.wadsworthcity.com/ordinances/index.php?folder=33&...]

Monument Sign shall mean a type of freestanding sign, which in addition to the requirements of Freestanding Signs, THE entire BASE OF THE SIGN STRUCTURE SHALL BE IN CONTACT WITH THE GROUND and be of brick or stone
[www.tunspan.com/woodstock/ Downtown%20Sign%20Ordinance-03-15-05.pdf]

Monument Sign – A freestanding sign, low to the ground, that has an ARCHITECTURAL BASE made of high quality materials and is as wide or wider than the sign face

Monument sign - A SIGN PLACED UPON A FOUNDATION OR SLAB and NOT SUPPORTED BY POLES, BRACES OR UPRIGHTS and not attached to a building
[www.yubacity.net/index.cfm?navId=5089]

Monument Sign
A ground mounted, fixed sign, where the base is attached to the ground as a wide base of solid construction
[http://www.galway.ie/planning/developmentplan/Clifden/clifde...]