Pedro Caixinha was recently appointed manager of the Scottish outfit, replacing Mark Warburton, and the new boss has brought in the trio of Helder Baptista, Pedro Malta and Jose Belman to work with him.
The 46-year-old Portuguese may not have been the first choice for many people but defender Danny Wilson says he has already made a good impression on the squad.
McLeish, who has been linked with the director of football role for the team he once managed, has offered his advice to the new man at the helm and believes adding someone who has ties with the club to his coaching team would help.
"I think it would definitely help to have an English-speaking coach, or Scottish-speaking as I should say," he said. "There are certainly guys out there. Barry Ferguson, for instance, it could be a good learning curve for him to be in that position.
"I’ve heard Neil McCann’s name being mentioned and Lee McCulloch as well. Caixinha will probably be getting inundated with people trying to tell him who to get in there beside him but those three names aren’t bad for starters."