The Toffees salvaged something from their New Year's Day trip to Stoke when Leighton Baines netted from the penalty spot in injury time to equalize after Oussama Assaidi's opener early in the second half.
Martinez saw Kevin Mirallas twice hit the woodwork in the first half so was happy to come away with at least a point on a day that didn't really suit his team.
"We feel disappointed in terms of we see it as dropping two points today," he told Sky Sports.
"But as you know in football, we knew that Stoke have got a very good record at home.
"They are unbeaten (at home) in the last six (league games prior to Wednesday's clash), they won their last two, and we knew it was going to difficult, especially if you don't get that early goal or the first goal.
"But given the circumstances, when you get an equaliser that late and you've got two balls cleared off the line, you feel maybe it's not going to be your day.
"When you still get a positive result away from home, you have to take it and move forward."
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