McGeady, 27. who hasn't played a competitive match since November, will start on the bench against West Brom at the Hawthorns tomorrow night with every chance of coming on.
Martinez said: "The first time I saw Aiden was in 2007 in an Old Firm game against Rangers. He was special. He was a match winner, playing with his socks down. I love a player who is as good in one-versus-one situations as Aiden.
"I enquired about him but Swansea couldn't afford him. He went for £10m (to Spartak).
"For the first six months, he was terrific in Russia. He played Champions League football and did really well. Since then, I have tried to sign him in every transfer window."
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