"He is one of them," Bilic told arsenal.com. "He looks straight away like he belongs there. "Okay, it is pre-season still, his legs are a bit heavy and he looked as if he lacked freshness in the game.
"But the main point is that we never doubt that he belongs there. I'm sure that [Arsenal] are going to be delighted with him. A wonderful player, a wonderful man. The guy is unbelievable.
"I know some people think he is just a goalscorer and he is a goalscorer but not like someone like [Filippo] Inzaghi. His game doesn't depend on scoring goals.
"He is not the [type of striker] who is going to stay in the box. OK, he can do that. If you tell him stay in the box, he will stay in the box. But it would be criminal to use a player of such quality only in the box. He can be a lone striker, he can play off the striker. He is individual but first of all he is a team player."
Off the pitch, the Brazilian-born front man has fitted in well before and, Bilic argues, his move to Emirates Stadium will benefit the whole of football in his country
"He came to Croatia when he was 16," said the ex-Everton man. "And all the people in Croatia treat him as a 100 per cent Croatian. Remember he was a captain of Dinamo Zagreb. You cannot be captain of such a big club if you are not considered Croatian.
"You can't not love him. He is an unbelievable guy. It's such a great thing for the Croatian League, for Eduardo and the national team and everybody in Croatia. Our players don't go to Arsenal every day and I think he is going to open the space for a few others."