If it is an e-mount lens, then they do work together - if it is an adapted lens, a Canon 70-200 F2.8 II IS with an adapter, then you have to decide which IS you want to use.
Your biggest issue, by far, is going to be getting use to the smaller ergonomics. As a 5DSR and 1Dxii owner myself, as well as an A7Rii owner, after much experimenting, I determined that for me, it is far easier to operate the Sony if I default hold the camera with my left hand, by supporting the lens from underneath, so that my right hand is free to operate the various dials without also having to support the camera.I know the dials on the new camera are better, but there is something about the short height of the camera, for my hand, that doesn't allow the meat of the right hand to help support the camera / lens weight, and thus having to do so with 1/2 a hand, backs using the dials much harder - thus the left hand holding the weight of the camera works really well.
Enjoy (if you are coming from the Canon world, and you own the any of the 50/85/135 L Primes, or the 24-70 F2.8 II, you will love them on the Sony)
Hockey and wedding photographer. Favourite camera / lens combos: a 1DX II with a Tamron 45 1.8 VC, an A7Rii with a Canon 24-70F2.8L II, and a 5DSR with a Tamron 85 1.8 VC. Every lens I own I strongly recommend [Canon (35Lii, 100L Macro, 24-70F2.8ii, 70-200F2.8ii, 100-400Lii), Tamron (45 1.8, 85 1.8), Sigma 24-105]. If there are better lenses out there let me know because I haven't found them.