It may depend on what one means by "forgive." If by "forgive" you mean that the person is entitled to the same privileges they had before the offense, the I don't think anyone would say that we should forgive the unrepentant. This would do away with church discipline altogether. Also, I may be able to "let go of my anger" toward a person who has wronged me, but if they don't repentant I wouldn't want to be friends with them anymore.

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Davidius
Husband of Emily
Member of All Saints Anglican Church - Chapel Hill (AMiA / Anglican Church of North America)
Student: University of North Carolina at Chapel Hill, German and Classics