"To find a successor" means to identify and select someone who can take over a certain position or role once the current person leaves or retires.
Sentences with «to find a successor»
After all, if you don't eventually find your successor, you're going to be stuck in that job forever anyway. (inc.com)
That would tie the university's hands for a time if the program was underperforming, and possibly even limit options in finding a successor. (sbnation.com)
The committee will be responsible for finding a successor for Callahan. (nreionline.com)