The Spaniard was strongly linked with the job as manager at Liverpool this summer.
But the 39-year-old decided to stay with the Latics because of his "unique" chairman.
"We must educate people," Martinez told the Daily Mirror.
"In five or six years, we reap the benefits. Maybe I won't be there then.
"But this is not why I stayed when Liverpool made me an offer. I stayed because my chairman is unique.
"This summer we sat down together. He had thoughts about the future of the club, I'd done the same.
"He knew that I had spoken with other clubs. But he is so persuasive, I extended my contract for three years.
"He wants to take the club to the next level. I know it will be difficult, but it excites me a lot."