Since you said "certain people" I'm assuming that means more than one, so here's how I'd do it. If somebody has a better solution feel free to post it, I don't claim to be a Linux expert, I've been using it off and on for years and I learn something every day.
1) Locate the binary executable, probably in /usr/bin or /bin or some similar location. It's the binary file that all the shortcuts point to that actually launches the application.
2) Create a group just for launching this application. Add only users you want to launch the application to the group.
3) Modify ownership of the binary file for the app so that your new group is now the owning group, and that you are the owner, and that "others" have no access to it at all.
sudo chgrp groupname binaryfilename
sudo chmod 770 binaryfilename