The goalkeeper, England's long-term first choice and on loan from Manchester City to West Ham, kept a clean sheet and was named man of the match in his most recent international appearance against Slovenia.
It is during the past 18 months, the most difficult of his career, he has most often been questioned, starting with mistakes at Euro 2016 and continuing after being dropped by Pep Guardiola at City.
Most recently observers have questioned his value to West Ham and whether Jack Butland should replace him with England, but Bilic said: "I think you don't appreciate him.
"You are asking me because you think you have a case. You are not asking why we don't appreciate Harry Kane.
"I watched the game against Slovenia and he was man of the match.
"But you didn't have that feeling from the studio, from the commentator, saying it was a penalty, it wasn't a penalty.
"If it was anyone else goalkeeping in that situation nobody would say it was a penalty.
"Has he become an easy target? Yes. The guy is brilliant. I'm not just talking about goalkeeping now, the guy never slaughters anyone in the job, he is taking the bullets, he is there every single time whether he is at City or Torino or West Ham.
"He is a great professional and very interested in the squad. He is a top pro."