Yes, the Sigma 35mm f/1.4 is designed to work on both APS-C / DX and full-frame / FX sensors. I’ve been using it for sometime on both my D750 and D7500, the images are amazing! The price deference between this and the Nikon version was the main reason I went with Sigma. The image quality is practically the same as the Nikon ( In my opinion i think the 35mm sigma does a better job with its focusing ).
Hope that helps!