Should be fine. It's not even that large of a cooler. People are using the NH-D14 and D15 on Skylake builds without issue. The issue is MOVING the system with the cooler installed, like, from one location to another (House to house or in the car), which shouldn't be done with an aftermarket cooler installed no matter what platform it is.
It supports the LGA 1151 socket and it's fine.