Abstract: A separator for removing free gas from a fluid extracted from a well, comprising a conventional electric submersible pump system, with a centrifugal gas separator, coupled to a static, gas separator of the gas anchor type, via a an ESP capsule, which has a closed upper end that forms a seal against the casing of the centrifugal gas separator and a lower conical end, with an adapter on the lower end of the capsule, which is connected to the upper end of the static separator. Also disclosed is a method for separating free gas from a fluid extracted from a well Among other advantages, aspects disclosed enable gas to be separated more efficiently and a fluid with a larger amount of liquid and low gas concentration to be sent to the production pump, such that the amount of gas enables the pump system to remain as stable as possible.