A process is disclosed for removing fluoridated compounds from any organic medium, for example from alkylation (“alkylated”) gasoline, which can be applied at the exit of the alkylation process or inside the distillation column of the alkylation process. The process uses extractant chemical agents based on ionic liquids, of general formula C+A−, where C+ represents an organic or inorganic cation, specifically imidazolium, pyridinium, or ammonium salts, while the anion A− represents the halide-type derivatives, iron (III) salts, aluminum (III) salts, acetate, benzoate-acetates, benzoates, hexafluorophosphate, tetra-chloroborate, triflates, bis-triflates and trifluoroacetates. These ionic liquids act as extractant agents to remove fluoridated compounds from the hydrocarbon streams that are produced in the process of alkylation of isubutane with butenes, through a liquid-liquid extraction process, with a reduction of more than 80% in the content of contaminants like organofluoridated hydrocarbons.