Williams made just seven appearances for the Swans before being recalled back to Anfield on Thursday.
"I'd just like to thank everyone [email protected] for making me feel part of the family from the get go," Williams wrote on Instagram.
"Gutted it didn't go to plan but it's been a pleasure to be a Swan for the time I was given. Wish the club all the best in the future. Once a Jack always a Jack."
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