An onlooker said: "I was gobsmacked when he took the shirt and signed it.
"He didn't have any problems with it at all.
"If I was one of Berbatov's team-mates or a fan, I'd be furious. It is incredibly disrespectful - he may as well have kissed the United badge."
Spurs legend Jimmy Greaves said: "Signing the United shirt is certainly cheeky.
"He clearly wants to leave. If he doesn't want to stay they should get rid of him."