Everton midfielder Muhammed Besic is calling for unity and support from the fans.
Supporters have been calling for Martinez to be sacked, with the club languishing in the bottom half of the table.
Despite domestic futility, Everton remain in the FA Cup and will face Manchester United this weekend.
Banners calling for Martinez’s departure were unfurled against Watford and Southampton recently but while Besic says he understands the fans’ frustration, he doesn’t believe the season has been “all bad” and wants supporters to get behind the team.
“It’s their choice,” Besic said. “We will always give our best.
“You can’t say the season is all bad, just maybe we didn’t win so many games but we are also in the semi-final.
“They should be behind us.
“They [fans] are always right, that is not a problem for us, I just mean we have to be together, all the fans, the players, the staff to reach the final and maybe win the Cup.”
Everton have been particularly poor at home in 2015-16, winning just four of their 17 league games on home soil.
The Blues’ stalemate with Southampton on Saturday means they are now set to finish this season with the worst home record in their history.
Besic admitted that he and his team-mates are feeling the pressure that comes with turning out at Goodison Park of late and hinted that he actually feels his side are better when they counter-attack teams, as opposed to playing the possession-heavy game Martinez craves.
“You feel that, but we are professional footballers and we have to deal with that,” Besic added.
“Away is a different game, we have to defend more and the opponent has more of the ball.
“Here we have to take the ball and play. That is maybe the difference this season not that we are afraid to play at home.
“Maybe, we feel better to defend and play on the counter.”