Kone netted 13 times for Wigan last season but saw a golden opportunity to open his Goodison account cannon back off the woodwork in Saturday's meeting with Hull City.
Martinez told evertontv: "We have to remember that Arouna has had a few niggles that have stopped him from being himself. I thought that in the 20 minutes [against Hull] he created two outstanding opportunities and he was a very important link piece in our attacking play.
"At the end of the day you always feel disappointed when you don't take your chances but I never value or measure a striker by taking those chances or not - I value a striker by creating those chances.
"I thought he looked sharp, looked lively and technically good in everything he did. If he carries on creating those chances everyone will see the type of player that Arouna can be.
"Strikers need goals - don't get me wrong - and that is something that everyone will agree with. But I measure how you are going to get the goals and to get the goals you need to be in a good moment of form. Clearly Arouna showed that with the work-rate and positions he took up when he came on."
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