To my knowledge and much to my chagrin, TSA Pre is not available for H1B holders (only lawful permanent residents - green card holders). If that’s discriminatory or not is in the eye of the beholder.
PreCheck itself bought from TSA is only available to citizens/nationals/LPRs, but nonresident citizens of a handful of other countries can get Global Entry from CBP, which includes PreCheck benefits as well as expedited immigration/customs handling.
https://www.cbp.gov/travel/trusted-traveler-programs/global-...