Magath took control of the Cottagers in mid-February and although he has taken only four points from his five games, Martinez believes the German will relish the pressure.
Speaking ahead of the meeting at Craven Cottage, Martinez said of the situation at Fulham: "It wasn't a change of manager just to see a different direction at the club, it was clear he was taking a football challenge of trying to get a big points average in a short period of time to try to stay in the Premier League.
"When you have 25 games to go in a season it becomes very difficult because there is so much talk about what could happen and what direction you can go.
"Everyone has an opinion and it can affect the team but when it is a short period of time it is very straightforward.
"It is a narrow approach and all you need to do is try to get as many points as you can and try to carry momentum from game to game.
"You don't even think about what may happen in the summer, what will happen to players' contracts.
"It is 10 or 11 finals that you try to prepare for in the best possible way and try to make difficult for the opposition.
"It is clear Felix Magath has the experience to provide a very difficult game in every game he puts his Fulham side out in.
"He is clear in the way he gets his teams set up and I think since he has been at Fulham they have been unfortunate in a couple of games and in the same manner he has been finding out a lot about his new players.
"I do feel this Fulham side is a completely different one to the one that came to Goodison Park."