The 22-year-old’s move to Blackpool fell through over work permit problems.
“I heard Blackpool were very interested but nothing concrete,” Bah told Sky Sports.
“I am a Stuttgart player now and I want to give my best to my new club and prove myself in one of the top leagues in all of the world.
“It is a dream come true for me, players such as Klinsmann played for this club.
“It is a big club here so if I can play here week in, week out I can show to all big clubs my value.
“I love the Premier League and maybe one day I will be there to play, all good players dream about it.”