The PFA Chief Executive is concerned that the booing from some Liverpool supporters directed towards Patrice during the Liverpool v Man Utd game on Saturday could have serious repercussions.
Gordon Taylor has been quoted in an article on the BBC website as saying:
"The booing of Evra was unwelcome," said Taylor. "For someone to be booed for reporting racist comments is not something we want to see happening.
"Black players may be worried about reporting such things, if there is going to be a backlash like this."
Liverpool have apologised that footage of a supporter making an apparently racist gesture in the crowd on Saturday appeared in a highlights film of the game on their website. "It should not have been included and we are sorry it happened."
The spokesman added: "It was removed immediately when it was brought to our attention.
The 58 year old man who made the gesture was arrested and bailed on Saturday. Police reviewed footage of the incident after images were uploaded to Twitter.
On Sunday night a Merseyside Police spokeswoman said: "A 58-year-old man from north Wales who was arrested on suspicion of a racially-aggravated public order offence yesterday following the Liverpool and Manchester United match has been released on police bail pending further inquiries."