Depends on the software program used. I've never used Audition and havent used Audacity in many years.
Some use the paradigm of an analog mixing board/desk with channel strips for each inidvidual mono or stereo input. In that case you pan that channel's output (routed to the main 2channel stereo output bus) to center, just like you would on a physical mixer. That's probably the easiest to grasp.
On other editors, you click boxes to select the desired output bus(s) for each channel. In that case if you select both the Left and Right main output buses, you route the identical channel output signal to both of them, which is effectively the same as panning to center in a mixer.
Aparently on other editors, one needs to make a duplicate copy of the channel and assign one copy to the Left channel bus and the other to the Right channel bus. Again, as long as the two channels are otherwise identical except for the output routing, that's the same as panning to center.
I see many people on this board talking about duplicating channels to effectively pan things to the center (like the Mid channel in a Mid/Side pair) but I always wonder why they do it that way. It works but is a rather cludgy work around. Their software must have some way to pan a mono input from left to right. If not they couldn't pan things slignty one way or another without major effort.
Most editors allow you to do things in several different ways. If those programs you mention allow you to use a mixing console interface, that's probably the most straightforward way to go about it.