The former Barcelona midfielder believes the 42-year-old has the ability to make the Bavarians even better than they already are when he takes over
The Bavarians sealed an historic treble under the tutelage of Jupp Heynckes in 2012-13 but the 68-year-old will make way for the former Barcelona boss when his contract expires on June 30.
However, Schuster is certain that the Spain international will continue the club's hegemony for years to come.
"He has the ability to develop an already-dominant group," the former Real Madrid and Barca midfielder told Kicker.
"I trust him to inspire Bayern with his own ideas and tactics. He senses how the Bayern bosses live football."
Guardiola enjoyed a glittering career as a player and Schuster went on to say that he was most influenced by the ideas of Johan Cruyff.
The newly-appointed Malaga coach said: "Guardiola is influenced by the style of Cruyff, who invented Barca's brand of football, as it were. Pep brought this to the modern day."
However, Schuster is unsure whether Guardiola will attempt to institute a copy of his Barcelona team at the Allianz Arena.
He added: "Only time will tell whether there will be the spectacle of tiki-taka. Whether it fits in with German values is questionable."