One-on-one defensively he actually did quite well yesterday, it was when faced with players running into the spaces between him and Luiz where we really struggled.
If he's going to come out wide to defend, it needs either the other 3 of the back 4 to shift across.
Or for the deep midfielder (Jorginho) to move into that space to cover it.
Unfortunately Jorginho isn't very athletic and doesn't have the pace to sprint into those positions, which is why I would have Kante deeper personally.
Another other alternative, is to keep the back 4 narrow and make it the wide midfielders responsibility to track runs back, but that's more suited to the 5 at the back with wingbacks, and I can't see Hazard doing much of that.