I would like to know if Adobe Audition 3.0 can be added as one the compatible softwares that can be used with Wine(Play On Linux).
Someone will need to write a script for it. It is a community-based project, so someone that owns it will need to contribute code. You can do it, as well. The scripting is not hard. If you are interested in writing a script, you can read how to here:
http://www.playonmac.com/en/documentation.html
I've been able to install the program using Wine(Play On Linux) on Zorin OS 9.1 , however, when it is recording there are segments of the waveform that seem to halt and leave blank spaces.
That is likely something that can be fixed via Wine (using either a special version of Wine or installing some extra components into POL). You should look up this application here for more information on how to get it working right, if anyone has managed to do so:
https://appdb.winehq.org/
Can you assist with this issue?
I would love to, but you didn't post your full computer specs and debug output, as per the forum rules (the ones that say Read Before Posting...). Either way, WineHQ is where you should start, unless someone in the forums has that program and knows better, appdb.winehq.org is the first place to check.
If not, can you assist me in uninstalling the program via Wine?
You obviously did not read any of the rules, stickies, or the Documentation...
http://www.playonmac.com/en/manual.html