The Northern Irishman is preparing for his first season with the Scottish Premiership side.
The newly-appointed Hoops boss takes over a side that has won the Scottish Premiership title in each of the last five seasons.
However, with the standard within the top flight arguably set to go up next term - with Rangers returning, while Hearts and Aberdeen will look to get even stronger - and with an expectation that the Bhoys will make a better impression in the Champions League, Rodgers will know that making the right additions in the summer could be crucial.
Boyd has warned the Northern Irishman that he is unlikely to have much luck going after players at the very top of their game, but the retired defender has highlighted a couple of examples that prove that it would also be foolish to write off lesser known signings.
"We can't get someone from the top level of English football or world football so we're still trying to bring in names for entertainment," he told the Record.
"I can't see the type of player Chris Sutton was, a goalscorer from the Premiership, coming here.
"That transfer fee would probably be Celtic's turnover nowadays and would cost somewhere in the £30m bracket. That would be out of our price range.
"The best players at this club can be ones that are found – I'm thinking of your Henrik Larssons and Lubo Moravciks."
With Rodgers taking over a Celtic side that is already in a strong position - based on their dominance in the league - there is perhaps less pressure on the signings he does make to make an immediate impact as the squad is arguably strong enough to allow them the time they need to become the next Larsson or Moravcik.