There's a possibility you'll need TSA "approval"; it depends on your specific situation. For a "new" type rating I think the answer is yes, although you may be eligible for the expedited program. As for the type rating, it has to be a FAA approved training program which (I guess) would run concurrently with your TC (or whatever country your licensed in) approved course. Whether your sim company does this or not - and whether it'll cost you extra - I dunno. You'll need to contact them, and you'll need to set it up well before the training starts. Don't wait until the first day of class.
EDIT: You DON'T need TSA approval if you decide to just go with the original program with no add-on to your FAA certificate. No FAA training then no TSA approval needed. Like the man said above, check with your sim company; they have the definitive information.
https://www.flightschoolcandidates.g...§ion=FQ#C2
Aliens and Non-U.S. Citizens Seeking Flight Training - AOPA