The Toffees face Manchester United at Wembley on the back of a humiliating 4-0 defeat by Liverpool in the Merseyside derby in midweek.
That made it seven games without a victory in the Premier League and piled more pressure on manager Martinez, whose position is under intense scrutiny.
To make matters worse, the Spaniard is facing a defensive crisis, with Ireland’s Seamus Coleman ruled out, Phil Jagielka almost certain not to play and Ramiro Funes Mori suspended following his red card at Anfield.
John Stones faces a fitness test after coming off against Liverpool with stomach cramps but Martinez is optimistic he will be fit.
The Everton boss said: “We carry hurt and that’s normal after what happened in the last game, but clearly the focus is about the opportunity of being in the semi-final of the FA Cup.
“Since the quarter-final against Chelsea, results haven’t been good enough, and that’s something we’ll try to look into next week.
“We’ve got four league games left and we’ll try to give everything we’ve got. But at the moment everything is about the semi-final and everything is about taking our club to Wembley with a really strong feeling of being together, of facing adversity in an exemplary way.”
The match has been presented as make or break for Martinez, with Everton fans calling for his head in increasing numbers.
The 42-year-old, who won the FA Cup with Wigan in 2013, has so far shrugged off questions about his future.
He said: “I wouldn’t be professional if I would be using my time on talking about what people think and what the feeling is around the manager.
“We’ve been working very hard since I arrived at the football club to be able to be at Wembley, to be very close to challenging for silverware, and that’s the opportunity we have.
“Of course we’re carrying hurt but whatever you carry into a semi-final, sometimes it’s good momentum, sometimes it’s negative momentum, it doesn’t really matter when the whistle goes.”