  We study the effects of management of the PT-symmetric part of the potential
within the setting of Schr\"odinger dimer and trimer oligomer systems. This is
done by rapidly modulating in time the gain/loss profile. This gives rise to a
number of interesting properties of the system, which are explored at the level
of an averaged equation approach. Remarkably, this rapid modulation provides
for a controllable expansion of the region of exact PT-symmetry, depending on
the strength and frequency of the imposed modulation. The resulting averaged
models are analyzed theoretically and their exact stationary solutions are
translated into time-periodic solutions through the averaging reduction. These
are, in turn, compared with the exact periodic solutions of the full
non-autonomous PT-symmetry managed problem and very good agreement is found
between the two.
