Martinez has seen the Toffees ease past West Bromwich Albion and Wolfsburg in fine style after they had initially found results hard to come by before the international break.
Crystal Palace have earned successive draws against Newcastle United and Burnley since the return of Neil Warnock to Selhurst Park.
The experienced boss has steadied the ship at the Eagles but he will keen to see his team register their first league victory at a ground where they upset the odds last season.
Crystal Palace: LLWDD
Possible starting lineups
Everton: Howard; Baines, Jagielka, Stones, Coleman; Barry, McCarthy, Naismith, McGeady; Mirallas, Lukaku
Crystal Palace: Speroni, Ward, Delaney, Dann, Mariappa, Jedinak, McArthur, Puncheon, Ledley, Zaha, Gayle
Sports Mole says: 3-1