There isn't one. It's just country. I guess you could say coun, but that would sound weird.
The abbreviation for the term county is co.
What is the abbreviation for Suffolk County
Co. is the abbreviation for county. For example: a tornado warning was issued for Johnson Co.
Cnty is the abbreviation for County.
The abbreviation for Riverside County, California, is "RIV." In postal contexts, it is often referred to as "Riverside Co." or simply "Riverside" when indicating the county.
CO
The abbreviation for economic development of Coahoma County falls under the MDA. The MDA is the Mississippi Development Authority. The MDA governs what economic development projects are idealized for Coahoma County.
Montgomery Co.
county highway
The abbreviation for the county of Gloucestershire (like the one you'd include in an address) is 'GLOS'.
SCC
HCT