DAILY POST had reported that Hudson-Odoi was heavily linked with a move to Bayern from Chelsea last summer.
The England youngster, however, decided to stay at Stamford Bridge after he signed a new contract last September that will keep him at the West London club until 2024.
“Of course he [Callum Hudson-Odoi] asked me about FC Bayern back [last season],” Rudiger told German newspaper, Sport Bild.
“I told him it was a great club. But the transfer ban and the departure of Eden Hazard, which we had been expecting for a long time, made it clear that Callum would get more appearances.”
DAILY POST had reported that FIFA imposed a transfer ban on Chelsea after they were found to have broken rules regarding the registering of young players.
And Hazard left Chelsea for Real Madrid last summer.