Valencia were forced to halt construction of the "Nueva Mestalla" in early 2008 but reached an agreement with Spanish lender Bankia late last year that appeared to put the project back on track.
Llorente told a news conference called to address the stadium issue that club officials were "working with Bankia to seek solutions" and the goal remained "to complete the new stadium".
"I want to send a message to the fans of calm and confidence in the club," he said. "The latest events do not affect the foundations of this club.
"I cannot name a date for when work will start up again, there is a lot already completed, plans, models, the only thing remaining is to restructure the financial side."
"It makes me green with envy seeing Silva at City, Jordi Alba at Barcelona, Mata at Chelsea but the reality was what it was," Llorente said.
"It's still going to be very hard for us to put this reality behind us and we'll have to sell more players but luckily we'll be able to do that thanks to the good work done by the technical secretary [in finding replacements]," he added.
"What I do know is that it's bad news and we'll have to wait and see what decisions Valencia takes," she added.
