Martinez believes the former Chelsea forward has made the right choice in moving to the Bernabeu - describing it as the "perfect fit".
"For Real Madrid, they are getting a phenomenal footballer and for Eden, there couldn't have been too many new chapters in his career," Martinez said ahead of Belgium's Euro 2020 qualifier against Scotland on Tuesday night.
"He always said that he was feeling at home in London with Chelsea so probably it was the only place that he could have gone and the place where he always had the dream of going.
"I think it is the perfect fit. Everything has been commanded with incredible respect in every party and I think that's the way things should be done. Now we all look forward to seeing how his new chapter at Real Madrid will start."