Chicago White Sox --

Signed free agent RHP Mike Stanton. D.C. Baseball Commission -- A pep rally to support "Baseball in Washington" week will be held tonight at 7:30 at American Legion Post 268 in Wheaton. Admission is $5; all proceeds to Washington Senators Fan Club. FOOTBALL

Kansas City Chiefs -- Signed QB Bill Kenney to a four-year contract reported to be worth about $2.5 million.

Pittsburgh Steelers -- TE Darrell Nelson underwent surgery to repair two damaged tendons in his right hand and will be out six to 12 weeks. He was injured in a household accident.

Chicago Bears -- Signed their 11th-round draft pick, Michigan State LB Jim Morrissey. Green Bay Packers -- Signed their 12th-round draft pick, P Jim Meyer of Arizona State, to a series of one-year contracts. COLLEGES

Southern Illinois -- Men's basketball program was placed on probation by the Missouri Valley Conference for the 1985-86 academic year because of violations of three NCAA rules regarding player compensation.

Miami -- Notified the NFL that QB Bernie Kosar "is officially through with school" and is eligible to be selected by the Cleveland Browns in the league's supplemental draft. The draft, for 15 players, will be Tuesday.

Syracuse -- Promoted George O'Leary from defensive line coach to assistant head football coach. BOXING

Darryl Tyson (20-1) of Washington, D.C. will meet Melvin Paul (20-0) of New Orleans in a scheduled 12-round bout for the Continental Americas lightweight title July 6 at the Washington Convention Center.

Donald Curry, WBA welterweight champion, will be out until November with a fractured right hand incurred Saturday in defeating junior middleweight Pablo Cruz. HOCKEY

Philadelphia Flyers -- Named John Paddock as coach of AHL's Hershey Bears. BASKETBALL

Phoenix Suns -- F Ed Pinckney of Villanova, team's top draft pick, will not attend rookie and free-agent camp this week because he has not signed a contract.

William Jones Cup -- In Taipei, Taiwan, the defending champion U.S. women's basketball team beat Brazil, 69-49, for its fifth straight victory in the winners' round. WRESTLING

Three students of the Model Secondary School for the Deaf won medals in the Augustine Bresino International Freestyle and Greco-Roman Wrestling Competition in Mexico City last weekend. Jeff White, 16, of Georgia, won two golds; Todd Silvestri, 19, of Pennsylvania, won a silver; Richard Haywood, 20, of Washington, D.C., won a bronze.