Recording Audio from Separate Locations

Zoom supports recording separate audio tracks:

How to record multiple audio files

When recording locally, the host can record all participants' audio streams as separate audio files, one file for each participant. To enable this option:

1. Open the Zoom client and click Settings.
2. Click the Recording tab.
3. Enable Record a separate audio file for each participant. 
4. Record and save the meeting to your computer.
5. Once the meeting is over and the recording has been processed, open the recording folder. 
6. Within the folder, open Audio Record.
7. Once in the Audio Record folder, each participant's audio track will be listed as its own file, with the file name beginning with the participant's name.

https://support.zoom.us/hc/en-us/articles/201362473-Enabling-and-starting-local-recordings

Mostly this is a comms issue - Audition will record whatever you manage to send it, and that's pretty much down to your sound device and what it will handle. What we have found to work best with remote location guests or hosts is not to worry too much about recording the remote person, because the quality will always be awful - you just record whatever you get off the phone, or what you can hear in the room, and get the guest to make a recording at their end (much better quality) and send you the file. You then place this in Audition and use it instead of the crap phone recording. It will pretty much sync up without difficulty, and it makes it sound as though your remote person is in the room with you.

If you have a basic sound device and a PC then almost certainly the best way to record multiple sources (if it will cope with them at all) is to use ASIO4ALL (it's free) which will let you aggregate them. Or use a Mac, which has aggregation built in, and you don't exactly have a lot of choice about it.