Following Sunday's loss to West Ham United, Williams posted a photo of his dog with the caption: "For the people that followed me, he's always awake," and added: "What a beautiful day easy up Norwich City FC."
Williams' representatives have now released a statement revealing that the young fullback was followed home after the defeat to West Ham.
The statement read: "Following the game against West Ham, Brandon was subject to taunting and abuse whilst driving away from the stadium.
"Immediately thereafter Brandon was followed as he travelled home. Those following him only desisted once they realised Brandon had noticed them following him.
"There is no club investigation into Brandon.
"This conduct by a small number of fans is unacceptable. The vast majority of fans have been overwhelmingly supportive during Brandon's loan time at Norwich.
"Brandon is grateful to Norwich City for their support and to all the true fans of Norwich who have sent him messages of support at this time."
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