The Northern Irishman is preparing for his first season in charge of the Scottish Premiership side.
Though Rodgers is taking over a team that has won five Scottish Premiership titles in a row, there are serious concerns about how strong the squad actually is currently following their struggles in Europe as well as the fact that they left the door open for Aberdeen in the title race on several occasions this past season.
But while some would call for the Northern Irishman to use the transfer market to bolster his ranks ahead of the new campaign, Boyd has suggested that Rodgers has the skill to follow in O'Neill's footsteps.
"It's about trying to get that consistency of performance over the course of a season and that will be part of Brendan's remit," he told the Evening Times.
"He can maybe do what Martin O'Neill did and make players better than they were before. You think back to guys like Bobby Petta. Maybe Brendan can do something similar."
Though the 43-year-old's time at Liverpool ended in disappointing fashion, he surprised many by taking them to the brink of the Premier League title during his tenure.
Whether it was down to him or not, there is no denying that the likes of Luis Suarez, Daniel Sturridge and Philippe Coutinho took their games to another level during his time in charge.
And with several players in the Hoops squad hinting that there is more to come from them, Rodgers may well be the man to unlock that potential and deliver a similar amount of success to what O'Neill achieved.