The retired defender played under the Italian during a two-year spell with Fiorentina that proceeded the highly successful period of his career that was spent at Ibrox.
Though none of the nine trophies he won during his time with the club came during the season that he spent working under Smith, he suggested that watching his former boss inspire the Foxes towards Premier League title glory has evoked memories of his time working under the Scotsman.
"There are a lot of similarities between Claudio Ranieri and Walter Smith," he told the Record.
"They are both good man-managers and like a good relationship with their players. But while they like to be close to you there is still a line you can't cross. On top of that Claudio is a good tactician which is the case with all good managers.
"I like when a manager speaks freely, face to face. Alex McLeish is another one. I like that attitude. I don't like managers who speak behind your back.
"Claudio wants the respect of everyone but he's the manager. He gets close to the players and he has a good relationship with them but at the same time you know who is boss."
Despite Amoruso claiming to see similarities between Smith and Ranieri, the latter guiding Leicester to the title would perhaps surprisingly see him winning the first top flight league crown of his entire managerial career.
But while picking up the three points they need to win the league would still leave him nine titles short of the 10 that Smith managed during his two spells in charge of the Light Blues, it would see Ranieri achieve something that the former Everton boss was unable to do during his illustrious career in winning the Premier League title.