Martinez acknowledged that Everton, who are ninth on 13 points, typically struggle against the London club, who beat Bayern Munich in the Champions league on Tuesday.
Louis van Gaal said he was proud of his Manchester United team as they re-booted their title challenge with a convincing 3-0 victory at Everton on Saturday.
Goals rained in for Manchester City and Manchester United but Jurgen Klopp's first game as Liverpool manager ended in a 0-0 draw against Tottenham Hotspur.
Ireland manager Martin O'Neill would settle for a play-off place in the Euro 2016 qualifiers, ahead of Thursday's tie at home to Group D leaders Germany.