The Toffees, after beating Swansea 3-1 earlier on Sunday, were denied another Merseyside derby clash by the Gunners' 2-1 win over Liverpool.
Everton have already earned a creditable 1-1 draw with the Gunners at Emirates Stadium in the Premier League this season.
And the Spaniard knows that a victory in north London will take him one step closer to becoming the first manager to win back-to-back FA Cups with different clubs after leading Wigan to Wembley glory last May.
But he insists his squad will have to be at their best to overcome Arsene Wenger's side.
"You always hope to have a home tie but, if you want to win the cup, you need to be able to face anyone wherever it is," said Martinez.
"If you want a word it is professionalism: we were professional against a Championship team QPR in the third round and then in the fourth round away at a League 1 side at Stevenage.
"(On Sunday) we were professional and a Merseyside derby would've been just perfect to show if we can win the cup or not.
"But it is the same for Arsenal away, so we will have to be at our best."