Ziegler is off contract in June and been linked with AC Milan.
"I note there is a lot of media coverage about Ziegler, but for us this player is too important and we have decided not to lose him," President Riccardo Garrone told lalaziosiamonoi.it.
"At this moment the priority is to keep a competitive squad and therefore we cannot do without him. The decision has been made. Ziegler is staying at Sampdoria."