Martinez gave Cleverley his Premier League debut last season.
"Massive credit must go to Roberto Martinez," said the Basingstoke-born youngster. "He brought me on hugely.
"Playing at Wigan benefited me experience-wise. Having the pressure of getting results, even though it was at the different end of the table, was a big help when I went into United's team this year.
"I will always have an eye out for Wigan's results."