  A novel framework is presented that can be adapted to a wide class of generic
spherically symmetric thin-shell wormholes. By using the Darmois--Israel
formalism, we analyze the stability of arbitrary spherically symmetric
thin-shell wormholes to linearized perturbations around static solutions. We
demonstrate in full generality that the stability of the wormhole is equivalent
to choosing suitable properties for the exotic material residing on the
wormhole throat. As an application, we consider the thin-shell variant of the
Ellis wormhole for the cases of a vanishing momentum flux and non-zero external
fluxes.
