What is the correct phraseology for changing the runway of a landing clearance? In the liveATC clip on this YouTube video, an American Airlines 767 arriving at SFO (San Francisco International) had been cleared to land on 28R, but, apparently while already on final, was told to switch to 28L.

The initial clearance given as


  American 2293 Heavy, San Francisco Tower, Wind 210 at 18, Caution Wake Turbulence, Heavy 767 mile-and-a-half final, Runway 28 Right, Cleared to Land.


which was read back, as per the usual. However, the Tower later sent the following transmission:


  American 2293 Heavy, Change to Cleared to Land Runway 28 Left


which the pilot read back as


  28L, Cleared to Land. American 2293 Heavy.


However, the pilot was seemingly too focused on flying the final to notice that the runway assignment had changed between the clearances and continued flying final to 28R, nearly resulting in landing on top of a United jet that was subsequently cleared to line-up-and-wait on 28R. Fortunately, the United pilot noticed the big 767 flying towards him and exited the runway on the other side instead of lining up. Tower then instructed American 2293 to go around.

It seems to me that the phraseology used to change the clearance here is too close to sounding like the controller is just repeating the initial landing clearance, rather than directing a busy pilot's attention to the fact that he was just told to change runways while apparently already flying final.

My question is: Was the phraseology correct for this change of the clearance? If not, what is the proper phraseology?

Given that this was in the U.S., I'm looking for FAA phraseology.
The phraseology was slightly incorrect, this is from the FAA's ATC Orders (section 3-10-5):


  3−10−5. LANDING CLEARANCE
  a. When issuing a clearance to land, first state the runway number followed by the landing clearance. If
  the landing runway is changed, controllers must preface the landing
  clearance with “Change to runway.”
  PHRASEOLOGY−
  RUNWAY (number) CLEARED TO LAND.
  Or
  CHANGE TO RUNWAY (number) CLEARED TO LAND


That means the ATC instruction should have been:


  American 2293 Heavy, change to runway 28L, cleared to land


All the correct information was in the transmission you quoted, it was just given slightly out of order. But that could easily be an issue for a pilot who's in a high-workload phase of flight and it's probably exactly why the ATC orders say that the words "change to runway" must come first.

I've had ATC change my landing clearance a couple of times but the controller always asked me first if I could do it:


  Tower: N12345, cleared to land 21L
  N12345: Cleared to land 21L, N12345
  [A few seconds later...]
  Tower: N12345, are you able to switch to 21R?
  N12345: Affirm, we can do that, N12345
  Tower: N12345, change to runway 21R, cleared to
  land


However, landing a C182 at a class D is a bit different from landing a heavy at SFO; I assume the controllers there have less time to talk so they may simply have changed the clearance and expected the pilot to say "unable" if necessary.