McGeady is enjoying his football under Blues boss Roberto Martinez.
He told the Liverpool Echo: "Myself and Strachan had our differences but overall he took my game to the next level.
"I won several Player of the Year awards in 2008 and he did help me a lot.
"He was always on at me. Tracking back was probably his thing for me. The penny finally dropped for me that I had to bring that into my game.
"If you don't track back then you are a luxury player, aren't you? Only so many luxury players get a game every week at top clubs. You have to be unbelievable, really, to be allowed to be a luxury.
"He also wanted me to appreciate the work ethic side of the game and become more tuned in to being a team player.
"So to improve I had to bring that into my game. I worked on it - I was conscious my role had to change.
"In terms of our disagreements, I'd maybe do a couple of things differently.
"In my opinion, a lot of the time, I wasn't in the wrong.
"Now, maybe, I would bite my tongue. But there is no point in going back over it."
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