The 27-year-old Germany international has impressed in a deep-lying midfield role, and Ribery believes he is a valid successor to current Real Madrid midfielder Toni Kroos and the retired Xabi Alonso.
“Rudy is a bit like Toni Kroos – his style is similar,” Ribery told Bild.
“I’ve always thought: good player, quiet, but not shy. He is not afraid when he’s on the pitch.
Ribery also gave a thumbs up to new centre-back Niklas Sule, another recent arrival from Hoffenheim.
“I will definitely have no problem with Sule,” Ribery added. “He knows Bayern is a different level.
“He’s still young (at 22) but he’s a good player. He has character and he’s brave. I like that.”