“The Celebrity Apprentice” will return without Donald Trump — however, the reality competition will not be new for the 2015-16 season. The hit series will be back on NBC, network boss Bob Greenblatt confirmed on Thursday at the Television Critics’ Assn. press tour in Beverly Hills, Calif., but the return date is in flux. Currently, NBC is searching for a new host to replace Trump. Greenblatt insisted the new host has not yet been chosen. “We’re obviously looking for a host of that show that will make noise and will be a big personality. There are a few people out there that fit that bill,” Greenblatt said.