His honors included: Brostek was selected in the first round of the 1990 NFL draft by the Los Angeles Rams with the 23rd overall pick.
On October 9, 1997, Brostek was placed on the injured reserve list for back problems, and his career ended.
In that 1992-1997 span, the Rams never had a winning season, though Brostek blocked for 1,000-yard rushers such as Cleveland Gary and Jerome Bettis.
In 1997, the Rams finished in last place in the NFC West division with a won-lost record of 5–11, and he was replaced at starting center by Mike Gruttadauria.
Some of Brostek's teammates included Jackie Slater, Keith Loneker, Jim Everett, Henry Ellard, Flipper Anderson, Lawrence Phillips, Tony Banks, Chris Miller, Sean Landeta, and Isaac Bruce.