The Everton boss is expecting yet another difficult game against the high flying Eagles.
The Blues midfielder pulled up with an injury in the 3-3 draw with Bournemouth last weekend, and subsequently missed the 2-0 win over Middlesbrough in midweek.
It is not thought that the injury is a serious one for the Republic of Ireland star, but Martinez admits it will be a late fitness test which determines whether he is fit enough for Monday’s game at Goodison Park.
“James McCarthy is the only one [absent],” he told assembled reporters, as shown on the club’s Youtube channel.
“He picked up that injury in the last league game and we’re not going to find out until Saturday or Sunday if he’s going to be available.
“It’s nothing too serious, but it’s serious enough to keep him away.”
The Everton boss has also admitted that he is expecting yet another difficult game against the Eagles.
They have enjoyed their trips to Merseyside over recent seasons, with two 3-2 wins at Goodison Park in the last two years as well as several wins at rivals Liverpool.
They already have a win at Anfield to their name this season, and find themselves above the Blues in the table in seventh place after making a solid start to the season.
And Martinez says that their pace, power and competitive energy is what makes them such a difficult team to play against.
“Crystal Palace are always a difficult team to play against. They’ve got pace, power and the most significant aspect is that they’ve been together for a long time,” he added.
“In football you cannot underestimate that. I think Palace are a team that have a real good mentality. They are a really strong team from the mental point of view.”
“Then they have great pace and power, some individuals that came come up with an action that is difficult to stop. They are very, very competitive.”