According to the FAQ published by both the USGA and the R&A, under Rule 14-1:
Using Club other than Putter on Putting Green?
Q. Is it permissible to use a club other than a putter to play a stroke on the putting green?
A. Yes, the Rules of Golf do not stipulate the type of club that must be used for making a stroke on the putting green or anyplace else on the golf course.
In other words any club on any surface.......
You can find NUMEROUS posts about this all listing the pros and cons of the shot.
IMHO it should be used as an EXCEPTION not as a common shot.