"Indeed, it is coming," Battlelog manager "EA_Stiv" confirmed in response to a user question regarding rented servers on the PlayStation 4. "I'm afraid we don't have any information on this quite yet, but it is coming soon! Keep your eyes peeled on the Control Room and Battlefield blog, as those are most likely where you'll see it announced first."
Electronic Arts previously hosted a server-rental service for Battlefield 3, leading to public server shortages as rentals exceeded anticipated demand. An implementation date for Battlefield 4's server rental service has not been announced.