Any and all rights of appeal now existing by law, with respect to any act or acts constituting the exercise of any function or functions transferred by this chapter to the Department of Human Resources or to any division or subdivision or office thereof, shall continue to exist with respect to such act or acts as hereafter performed by the Department of Human Resources or by the division, subdivision or office to which such function is transferred, and each such appeal shall be perfected in the manner heretofore provided by law.