Kenny sent abusive text messages to QPR chairman Tony Fernandes and technical director Mike Rigg following their defeat to Swansea City, mocking the result and Green's performance. Kenny has since issued an unreserved apology.
"He forgot things quickly, that is the good thing. Against Norwich, he was calm so it is good for us," said Park.
"We have only had two games. He has the ability so we just leave him and give him the confidence."
Park added: "We have not spoken about that [messages from Paddy Kenny].
"He is not a young player and has experience. Every player speaks to each other and if we have problems we sort them out.
"He is not worried about them, and showed that he is getting better."