American League -- Named Bret Saberhagen of the Kansas City Royals (2-0, 1.50 ERA, 16 strikeouts). player of the week for July 8-14.

Kansas City Royals -- Announced they will move their spring-training facility from Fort Myers, Fla., after lease expires in spring 1987.

Milwaukee Brewers -- Reactivated C Bill Schroeder (15-day DL with a strained elbow ligament in his right arm); assigned IF Brian Giles to Class AAA Vancouver. Seattle Mariners -- Placed SS Spike Owen (pulled hamstring) on 15-day DL, retroactive to Monday. COLLEGES

Florida State -- Announced TB Roosevelt Snipes left summer school and apparently will not play this autumn. LOCAL

Washington, D.C., Boxing Hall of Fame -- Will host a 15-bout amateur boxing show at the Hillcrest Heights Boys Club tonight at 7 o'clock. Two-time Golden Gloves lightweight champion Antonio DeBarros of Hillcrest Heights will box in his last amateur bout, against Kelvin Daly of Takoma/Langley. Sidwell Friends Summer Basketball League -- All-Mets David Butler of Coolidge and Mark Tillmon of Gonzaga will lead the West against the East in the league all-star game tonight at 7 o'clock. Second-team all-Met Steve Hood of DeMatha and Anthony Tucker of McKinley Tech lead the East. OBITUARY

Robert Hoffman, a former Olympic weightlifting coach internationally known as "Mr. Physical Fitness," has died in his hometown of York, Pa. PRO FOOTBALL

Atlanta Falcons -- Acquired DE Lawrence Pillers from the San Francisco 49ers in exchange for LB Fulton Kuykendall.

Chicago Bears -- Signed OG Tom Thayer, RB Dennis Gentry and DE Charles Bennett.

Miami Dolphins -- Signed RB Lorenzo Hampton from the University of Florida.

Pittsburgh Steelers -- Signed No. 1 draft pick DE Darryl Sims from Wisconsin, No. 2 pick OT Mark Behning from Nebraska, No. 4 pick C Dan Turk from Wisconsin; No. 6 choice LB Gregg Carr from Auburn; two ninth-round selections, LB Fred Small of Washington and CB Andre Harris of Minnesota, and S Jeff Sanchez of Georgia, a 12th-round pick.

Tampa Bay Buccaneers -- Reached agreement with QB Steve Calabria, a ninth-round draft choice from Colgate. PRO BASKETBALL

Dallas Mavericks -- Signed C Uwe Blab of Indiana, a first-round draft pick. TRACK AND FIELD

Wladyslaw Kozakiewicz, the Polish pole vaulter who was a gold medalist at the 1980 Moscow Olympics, has asked for political asylum in West Germany, a Polish newspaper reported.