Provided there are no conditions from the European Union for current residency permit holders, yes, you shall be able to enjoy the free movement within the area of Schengen zone countries.
If Cyprus successfully joins the Schengen area, will permanent residents be able to enjoy the benefits?
I obtained Cypriot permanent residency through its investment immigration program several months ago. I heard that Cyprus has submitted its application of joining the Schengen area. If Cyprus becomes a Schengen country, will permanent residents of Cyprus be able to enjoy the benefits?
Yes, should Cyprus become a full member of the Schengen zone, residency holders are expected to enjoy the full benefits of travel.
Yes, permanent residents shall be able to move freely in the Schengen area.
It would seem that if Cyprus enters the Schengen scheme, then all residence permits will be turned into Schengen visas if those follow the criteria as they would be imposed by the European Union.