My upper radiator hose is hot and the bottom one is cold, is this a problem?

I recently replaced the thermostat and new antifreeze. The top side of the radiator (upper hose area) is very hot, the opposite side (lower hose) is cold. Truck is not overheating, it has great heat, I would sweat to death if I left it on too long. 2003 Ford Ranger 4 Cyl 2.3

Thermostat is directly under the upper hose… Which tells you the direction of flow is from engine, thru thermostat, into upper hose and to radiator… After which, the now cooled fluid returns to engine via the lower hose.

sounds normal to me.

No. It means the radiator is working.

The whole idea of a radiator is to cool the fluid. Obviously the contents going away from the radiator need to be cooler than that coming in. DILBERRY!