The Continental jump-seat authorization list marks the airlines that are authorized for international jump-seat with an asterisk. Usually, these are airlines that operate international flights. The list is based on reciprocal agreements between CO's pilots and other airlines. If your airline is on the list, you can probably get a ride.
The only airline that I am aware of that maintains a jump-seat list for dispatchers is Northwest, and dispatchers are not authorized for international travel unless they are in the TWU (I think Delta and UAL dispatchers are exceptions, but they have their own union to negotiate that stuff)
disclaimer - I have not been affiliated with Continental Airlines since Nov 2005, and things may have changed.