The Devils confirmed the signing of Zidlicky on Wednesday without releasing details of his new contract.
The signing will allow the Devils to keep their top defensive pair together. Zidlicky usually plays with captain Bryce Salvador.
Acquired from Minnesota in February 2012, Zidlicky helped the Devils reach the Stanley Cup finals that season. The native of the Czech Republic had four goals and 15 assists last season when New Jersey failed to make the post-season.
We were thinking about Rich back home, but I thought we did a great job getting mentally ready for this game. We're still in a big playoff push and we found a way to get two points. It's not easy. It hit our guys pretty good [Monday] night. We did a great job as a group.
— Dallas captain Jamie Benn on the Stars' OT victory against the St. Louis Blues the night after Rich Peverley collapsed on the bench