Martin Jol took charge at Craven Cottage this summer after Hughes walked away at the end of last season.
The Welshman implied that he wanted a club which could match his personal aspirations, but Baird believes that Fulham, Europa League finalists in 2010, are going places.
"That's Mark's opinion and he's entitled to it - but it's not one I share," the defender said in the Fulham Chronicle.
"In fact, we had a good season. We finished eighth and qualified for the Europa League again.
"We've been to the final of the competition already and been seventh since I've been here - the highest yet for the club. That sounds like ambitious to me."