A novel maize variety designated PHVRZ and seed, plants and plant parts thereof. Methods for producing a maize plant that comprise crossing maize variety PHVRZ with another maize plant. Methods for producing a maize plant containing in its genetic material one or more traits introgressed into PHVRZ through backcross conversion and/or transformation, and to the maize seed, plant and plant part produced thereby. Hybrid maize seed, plant or plant part produced by crossing the variety PHVRZ or a locus conversion of PHVRZ with another maize variety.