Former England international Beattie was handed his first managerial job in professional football by Stanley in May after impressing as a player there.
Full-back Hunt was a team-mate of Beattie's during a loan spell last year and, after agreeing to move to the Crown Ground on a permanent basis this summer, he has been impressed with his manager's ability to adapt to his new role.
"I think he's a great manager," Hunt said.
"You find it difficult some times to go straight from a player to being the manager but he's taken to it very well.
"The majority of us played with him last year so that always helps; he knows the players inside-out, he knows what their strengths are and tries to convert the weaknesses to strengths. He's taken to it very well."
Although Stanley opted for a rookie candidate, Hunt believes Beattie's wealth of experience during a playing career which included spells at Southampton, Everton and Sheffield United was ultimately pivotal.
Hunt added: "I think they did have a lot of candidates for it but they wanted someone with a lot of experience in the football industry and he did play for 18 or 20 years.
"I don't think you'll find that experience any more so he's been given a chance and I really hope he takes it."