  In this note, we study the natural question of when the generalised F{\o}lner
sets exhibiting property A can be chosen to be subsets of the space itself. We
show that for many property A spaces $X$, this is indeed possible: specifically
this holds when $X$ is a discrete bounded geometry metric space which coarsely
has all components unbounded, when $X$ is any countable discrete group, and for
all box spaces.
