Lukaku completed just nine matches in English football before moving to Goodison
Lukaku has made an explosive start to his Goodison career since arriving on a season-long loan from Chelsea last month, netting four goals in as many appearances.
The 20-year-old has been tipped for great things since being snapped up by Chelsea from Anderlecht two years ago in a deal that could eventually cost the Londoners £17million.
Having struggled in his first season with Stamford Bridge, Lukaku netted 17 goal in 38 games on loan at West Bromwich Albion last season.
And Martinez is convinced the improving Belgium international will only improve during his time at Everton.
“He is not a typical number nine,” said the Spaniard. “When you see Romelu you think of power, strength and that he’ll hold the ball up for you.
“He is a lot more than that and when you speak to him he just blows you away with his knowledge and the way that he wants to understand the game.
“His overall play is not that of a normal target man. He is a modern target man and that excites me. There are not many around world football of that type. But he will get the opportunity here. He will have the time to experiment things and try things. He can be as good as he wants to be.”
Lukaku had completed just nine matches in English football before moving to Goodison, but has already lasted the duration twice with Everton.
And Martinez added: “Remember that he hasn’t played many 90 minutes in his career and it is important that he has already played two 90 minutes for us.
“That is important because it is going to allow his game to go into a full flow.
“So it is like seeing a young man who has now become a proper man with an important role and that’s what we want him to have here.
“That’s why I am excited to see him ready to step up and do that. But it is a new role for him and as a young man, until you are put in that position, you don’t know how you are going to react. That’s why I am excited because this is the first time in his career that he is going to take that role so everything is in his hands, really.”
Meanwhile, Tony Hibbert is prepared to keep turning out for the under-21s to maintain his fitness and improve his chances of improving on his solitary first-team appearance this season.
Hibbert played the full match of Monday’s U21 win over Blackburn Rovers as an over-age player, and he said: “It was my first 90 minutes for a while and I needed it. It was a good game to play in.
“Possibly I need to play more under-21 games. I need a lot more hard training sessions as well to get my breathing and fitness up there. It’s up to the manager if he wants me to play in any more reserve games. It’s good to get out there and play.”