Whelan claimed during the summer that Liverpool had offered Martinez the chance to succeed Kenny Dalglish though the Reds have always maintained that Brendan Rodgers was the only man formally approached about the role.
Now Martinez has said that Liverpool did try to recruit him from the DW Stadium, only to be met with disappointment.
“We must educate people," Martinez told the Daily Mirror of his mission at Wigan. "In five or six years, we [Wigan] 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 thought 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."