Hi Mark.
That is an interesting question, because one of the first ways people
knew that the Sun rotates was by observing sunspots! Features other
than sunspots rotate also, so we know the Sun as a whole is rotating
and basically the spots are just going with it. However, if you watch
an individual spot group you can see the spots moving relative to one
another, so they are not completely fixed on one place on the Sun.
The sun is not solid. Different parts of it rotate at different speeds
and different kinds of features sometimes seem to move at different
speeds. This all depends on what latitude they are at on the sun (how
far north or south) and how far down below the surface they reach. It
is a bit complicated and is something solar astronomers are still
working to completely understand.
cheers,
Terry