The 27-year-old appears to have played his final game for the Magpies after joining Hull on a season-long loan with no recall clause in the deal.
The France international had been frozen out by boss Alan Pardew after a breakdown in their relationship, but remained a fans' favourite despite his drop in form.
He wrote: "To the Toon Army, I want to pass on my thanks to all the fans that supported me during my time at the club and living in a city that will be forever in my heart.
Newcastle Transfer Round up
I want to pass on my thanks to all the fans during my time at the club
Hatem Ben Arfa
"Thank you also to everyone at NUFC and to Hull for making this loan happen. I wish Newcastle the best of luck. I hope they have a good season.
"I can't wait to launch my career again with Hull and Steve Bruce. I thank him for the trust he has shown in me bringing me to this club."
Ben Arfa has a year remaining on his current deal at St James' Park.
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