Amon Goeth does not show much in the way of moral development at all in the film Schindler’s List. He is out to make money by bribing the factory owners who use his prisoners for labor. He kills without regard for human life.
At one point in the film, we see Goeth attempt to reform himself after being encouraged by Schindler to be kinder to his prisoners. He does it for a little while, but cannot deny his true inner nature and soon reverts back to his cruel ways. The scene in which in he looks at himself in the mirror and says “I pardon you” tells the viewer that Goeth has given in to this nature and will fight it no longer.
However, there is one moment in the last fourth of the movie when Goeth shows a little compassion for Helen, the housekeeper he loves (in his own twisted way). Although he doesn’t want to part with her, he allows to Schindler to save her life by taking her to his factory in Brinnlitz.