Silva endured a miserable start to his Chelsea career, conceding three goals as his team battled back for a 3-3 draw in the Premier League.
But Bilic believes class is permanent where Silva is concerned, even if the Brazilian is in the late stages of his career.
"Knowing Frank and he is a very serious guy, a top-quality manager, I don't think Silva needs time. [The] Premier League is a global league, not an English league. I think players can make that kind of mistake in their 45th mistake.
"He made a mistake; he has made very few in his career. Maybe one in 100 games at PSG. It is nothing to do with age or his debut in the Premier League."