There isn't a single reason for a compressor stall, so neither there is a single possible outcome. The pilots are generally instructed to reduce power level unt

There isn't a single reason for a compressor stall, so neither there is a single possible outcome. The pilots are generally instructed to reduce power level until the surging stops; if the damage is too great that won't help and the engine must be shut down. All passenger aircraft are certified to be fully controllable with an engine out, but having it happen is usually treated as an emergency. (With some notable exceptions like flight BA 268, look it up.)