Re: 2001 F 250 Trans. cooler location
It left the factory with a cooler in the radiator and an air to oil cooler, too.
One of the lines from the radiator goes to the front of the trans. The other goes to the air to oil cooler. You should replace this cooler with a 6.0L cooler. The new cooler will even bolt to the mounts holding the current cooler.
Former Ford Automatic Transmission Engineer
“The good thing about science is that it's true whether or not you believe in it.” ― Neil deGrasse Tyson