Skip the full sump of ATF.. in fact skip the ATF in your oil completely. If you must do something, then do as others have suggested - Run an OCI or two using Rotella 10w-30.
Better yet, depending on the oil that the engine specs, use the Rotella 10w-30, but replace 1/5 to 1/4 of the oil with MMO. You mentioned red/pink coolant, so I'm going to assume that this is an asian car, and thus would most likely spec an oil lighter than 10w-30.. and so the MMO will lighten up the oil, and might help a little in clean-up.
.. In all honesty, though, the Rotella will do some good cleaning by itself. Way better than any ATF could.