Maybe. It depends.
First you have to get it out of the USA - and there are laws about that.
22 CFR 123.17(c) is the key part of "22 CFR 123.17 - Exports of firearms, ammunition, and personal protective gear.".
17c states that:
(c) Port Directors of U.S. Customs and Border Protection shall permit
U.S. persons to export temporarily from the United States without a
license not more than three nonautomatic firearms in Category I(a) of
§ 121.1 of this subchapter and not more than 1,000 cartridges
therefor, provided that: (1) A declaration by the U.S. person and an
inspection by a customs officer is made; (2) The firearms and
accompanying ammunition must be with the U.S. person’s baggage or
effects, whether accompanied or unaccompanied (but not mailed); and
(3) They must be for that person’s exclusive use and not for reexport
or other transfer of ownership…
More on what these exact terms might mean to you is covered on US Persons Travelling Abroad with Firearms.
Certainly, it's worth noting that some countries are banned from receiving weapons by the US - and as such you can't take your guns there. This list of countries and restrictions is available online.
Then, next you have to worry about the country you're going to. Will they let you carry a gun? Many won't. For that, you'll have to look up the local laws of the country you're visiting, and perhaps contact the authorities or a local gun club and ask about the laws.
Your concealed weapon license is a license under US Law. US law is irrelevant overseas, and you will be covered by whatever laws the other country has about guns. Odds are good you may need a license as well, or simply won't be allowed to carry it without a special exemption.