We numerically and experimentally show that the enhanced transmission of an array of annular nanoapertures is independent of the nanoaperture's arrangement. This holds if this enhancement primarily relies on Fabry-Pérot resonances of guided modes in the nanoapertures. We observe a comparable transmission spectrum for a periodic, a quasiperiodic, and even a random nanoaperture arrangement. This complements previous findings where the enhanced transmission of a circular nanoaperture array was shown to rely on the excitation of surface-plasmon polaritons at the metal surface and thus strongly depended on the nanoaperture's arrangement.