GPU Advice (GTX 970)

Luminary

Admirable
Yes, everything should work fine together.

1) The card will fit in the Zalaman Z11 Plus:

Card Length: 267 mm
MAX case supported card length: 290mm

2) The card requires 2 6-pin PCIe power connectors, which the CX 500 has, so yes, it should be able to power the card. The CX 500 isn't a particularly good PSU, but it should be sufficient.