The 21-year-old has come in for criticism after he theatrically went to ground following a challenge from Nacho Monreal in the Gunners' 2-1 win over the Toffees on Saturday.
However, Martinez defended his young prodigy, saying he needs time to adapt to British football.
"Gerard is a young man who has come into a very different game and he needs to understand the culture of the British game," Martinez said post match.
"But I love to see players who care and want to make things happen. He is an emotional player and I don't think he was disrespectful in any way.
"When they keep hitting you with every chance they get, sometimes you are going to feel the challenge comes your way and maybe you are going to go to ground that little bit easier.
"Maybe he has to learn that, but it is difficult as a striker or an attacking player to cope with the amount of bad treatment you get from defenders.
"Gerard has incredible talent, he worries defenders and you could see at the end they had three players around him. He carries that threat.
"He is a young player and he has a lot to learn but he has the desire and that winning mentality and it's only a matter of time before he puts that talent together."