Liverpool players also warmed up for Wednesday night's game at Wigan wearing T-shirts in support of Suarez.
They said they were "shocked and angered" at the FA verdict.
"We totally support Luis and we want the world to know that," the statement continued. "We know he is not racist.
“There must have been a temptation to throw the book at Suarez and send a strong anti-racist message to the world. From a South American perspective, the length of the ban might be taken to indicate that this is what the disciplinary board has done”
"We have lived, trained and played with Luis for almost 12 months and we don't recognise the way he has been portrayed.
"We will continue to support Luis through this difficult period, and, as a popular and respected friend of all his team-mates, he will not walk alone."
Liverpool players, including Suarez, warmed up for Wednesday's Premier League game at the DW Stadium wearing T-shirts featuring a picture of the Uruguayan on the front and his name and number seven on the back.
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