The Uruguay international denies claims attributed to the Frenchman that he had used racist language during their spat in the 1-1 draw between the two sides at Anfield on Saturday
The two players had to be separated by referee Andre Marriner on several occasions during a lengthy spat and Evra alleged after the match that he had been racially abused by the Uruguayan.
Speaking on his official Facebook page, Suarez moved to deny the allegations which are set to be investigated by the FA.
He said: "I'm upset by the accusations of racism. I can only say that I have always respected and respect everybody.
"We are all the same. I go to the field with the maximum illusion of a little child who enjoys what he does, not to create conflicts."
An official spokesman for Liverpool had previously stated that the forward "categorically denied" the allegation.