The phrase "to name a successor" means to choose someone who will take over a position or role after the current person leaves or is no longer able to fulfill that role.
Sentences with «to name a successor»
Tip — Name a beneficiary, even if you have already named a successor holder. (moneysmartsblog.com)
The company has not yet named a successor for him. (nbr.com)
Half could not immediately name a successor, and almost 40 % said they had «zero» candidates within their company. (canadianbusiness.com)