Guardiola has been linked with a shock move to Turin after winning two Premier League titles in three seasons with City.
Chelsea head coach Maurizio Sarri is also a reported target for Juve, who opted to sack Massimiliano Allegri last month.
Thuram, who won two Serie A titles in five seasons at Juve, feels it is unlikely Guardiola would leave City.
"Guardiola is a great manager, but I think he's not going to leave Manchester City honestly," he said on Monday.
"Juventus always had great managers and I think football is wonderful because you can play it in a lot of ways.
"You can win playing with the style of Guardiola or with the style of [Liverpool manager Jurgen] Klopp. They have different styles.
Nice one, townMay 20, 2019
"Juve won a lot of titles in Serie A in a row thanks to a really good manager. And I'm sure the next manager of Juventus will be another great one. The club know what to do as always."
Juve have won eight consecutive Serie A titles, but have continued to fall short in their bid for a first Champions League crown since 1996.
Former Napoli boss Sarri is also linked with the vacant post and Thuram praised the 60-year-old Italian.
"I don't know Sarri as manager really well, but I know that his teams play great football," he said.
"His Napoli played really well and he won with Chelsea, but I read somewhere that he doesn't want to leave Chelsea."
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