How to always show file sync status icons in Backup and Sync from Google on Mac?
I recently came across this issue are well, where green checkmarks appeared on the bottom right corner of folders and files on my desktop.

I found that this issue was due to my google drive, indicating which files have been uploaded and which ones havent. To get rid of the checkmarks, I did the following:


Click on the google drive icon (cloud with an upwards arrow) on the top menu bar
Select the three dots in the upper righthand corner
Select preferences in the dropdown menu which opened a new window
In the window, selected settings in the left side menu
Deselect "Show fille sync status icons and right click menu"


Do step 5 ( one to two Times ) 
100% it will work 

This solved the issue for me and hopefully it can help you out.