does Quicken 2.9.7 run on Mac OS Big Sur

This is Quicken 2015 for Mac, correct? 

I don't know for sure and it certainly hasn't been tested by Quicken; I believe it will run, but there could be issues since it hasn't been updated since Big Sur came out. (As you likely know, support for Quicken 2015 ended in April 2018, and since there were multiple newer releases by Quicken as of that time, as well as many more since then, there is an upgrade path should you want it.)