Poyet has defended his countryman Liverpool striker Luis Suarez over allegations he racially abused Evra.
Suarez was charged by the Football Association earlier this week.
Quoted in several newspapers, Poyet said: “I played for seven years in Spain and was called everything because I was from South America.
“And I never went out crying like a baby, like Patrice Evra, saying that someone said something to me.
“I believe Suarez. It’s simple. I am surprised in a really sad way that he has been charged.
“I think it is worse to charge someone because you trust one person when you have no proof.”
He added: “I am sad because it is going to become too easy. I can make a complaint about an opposition manager and if I take it as far as I can he will be charged.
“Why are we going to take one person’s word over another’s?”