On the PGA Tour, when the golfers are playing under the pick, clean and place rule, can they place the ball on the putting green if it was originally on a closely mown area within the designated lenght from the green?

I know that in the appendix of the RCGA rules, it recommends that this not occur, however, I was wondering if the PGA Tour allows this.

A fellow golfer insists that the pros can do this. I insisted that they cannot.

Who wins the trip to play Pebble Beach?