Suarez struck a wonder goal against the Toon in November.
Barnes told liverpoolfc.com: "Luis Suarez against Newcastle.
"I don't think there's another player in the world that could have scored that goal. I don't think [Lionel] Messi, [Cristiano] Ronaldo, [Robin] van Persie or anyone could score it.
"The pace he was running at, to control the ball and then to change pace, to relax, to calm down and slow down, to not run out or kick the ball out of play on his second touch and put it in was just incredible."