The striker was subjected to abusive chants during the Serie A game, just as he stepped up to take a penalty - which he scored to win the game - last Sunday.
Lukaku stated after the match that he believed football was ‘going backwards’, while a number of high-profile figures from the world of football have spoken out over the appalling incident in the subsequent week.
Martinez was asked about Lukaku’s state of mind ahead of Belgium’s Euro 2020 qualifier with Scotland on Monday and, while admitting the forward had obviously been left disappointed and angered by the incident, claimed it had not clouded his mood in the run-up to the game.
"I haven't seen a difference,” Martinez stated. “It's true that he was sad with the episode he had to go through but I'm sure that's something everyone in football will try to help him and the environment to eradicate. There's no tolerance for that.
“I think Romelu is one of the modern footballers that he was born with the attention with the media following him at the age of 16 in Belgium," he added.
"He had a media crew following around. They followed the expectation of a team having to win at Anderlecht with the Champions League participation. Then he had a big transfer to Chelsea, then he had time at West Brom before a big transfer fee to Everton. He then had another big transfer fee to Manchester Untied and now to Inter.
"Romelu doesn't get affected. He is one of the most driven boys that you are going to see. His life is football. He lives to score goals and be effective for the national team and his club.”
Belgium have made a 100 per cent start to their qualification campaign and could extend their advantage at the top of Group I with a win in Glasgow.
When the sides last met in June, it was Lukaku who stole the headlines with his brace against the Scots, in a comfortable 3-0 victory.