Nuno lost his job on Tuesday as he was sacked by Forest and replaced by former Tottenham manager Ange Postecoglou.
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Taking to social media last night, Wales fullback Williams posted a farewell to the Portuguese.
He said, “Thank you, boss.
"You gave me the opportunity to grow and learn wearing the shirt. Had some amazing memories playing under you & wish you nothing but the best in the future!”
Williams penned a new deal with Forest this past summer.