Nancy Lieberman signed with the Springfield (Mass.) Fame of the U.S. Basketball League yesterday, expressing confidence she can compete with male professional athletes.

Lieberman, 27, signed a one-year, no-cut contract for an undisclosed sum, then went off to practice with her new teammates.

The 5-foot-10 Lieberman, who starred at Old Dominion and with the 1976 Olympic team, played in the Women's American Basketball Association before it collapsed last year.

"This is not any kind of gimmick," Fame owner Harry Gilligan said. "Nancy . . . can play the game of basketball."

Former UCLA star Anne Meyers was signed by the NBA's Indiana Pacers in 1979. She did not make the team.

Lieberman said that although she lacks the "physical attributes" of a man, she will compensate with strong fundamentals and court presence. "I would not be out here today if I did not feel I could compete," she said. . . .

Golden State Warriors owner Jim Fitzgerald denied a CBS report that the team is considering trading rookie Chris Mullin. BASEBALL

Rod Carew has called a news conference for Monday amid speculation he will announce he has signed a one-year contract with a major league team. But which team is the question. Suggestions range from the Minnesota Twins to an unspecified NL team. About the only team not being mentioned is the California Angels.

Carew, 40, played 12 seasons for the Twins and then seven for the Angels. Last season he batted .280 and topped 3,000 hits (3,053), but the Angels did not offer him a contract. They say they still aren't interested. $ FOOTBALL

New England Patriots wide receiver Irving Fryar said allegations he gambled are "straight out of left field," and said he has scheduled a lie detector test Monday to prove his innocence.

"The whole truth and nothing but the truth [is that] I never, ever, never gambled on games," Fryar said. " . . . I'll make sure all the reporters are there to see the results of it [lie detector test] so they can put the fact that I'm innocent on the front page." . . .

The City of Oakland has petitioned the U.S. Supreme Court to review its eminent-domain attempt to return the NFL Raiders from Los Angeles to Oakland, said David Self, an attorney representing the city. The California Court of Appeal rejected Oakland's bid and the California Supreme Court refused to review it . . .

Bob Ackles, the general manager of the CFL British Columbia Lions, has been hired as vice president-pro personnel for the Dallas Cowboys. In the newly created position, Ackles, 47, will evaluate and scout pro talent. JURISPRUDENCE

In New York, Sen. Alfonse D'Amato (R-N.Y.) testified in the USFL-NFL antitrust case that he had been led to believe last summer there was a good chance the NFL's Jets would return to New York City from New Jersey.

The NFL introduced a letter in which Jets owner Leon Hess informed New York officials their stadium plan was unacceptable because it would force many fans to pay $2,500 to $12,000 to obtain the right to buy a ticket.

D'Amato's testimony was part of the USFL's attempt to prove a "New York Conspiracy" by the NFL to keep a USFL team out of New York by holding out the prospect of the Jets' return. However, U.S. District Judge Peter K. Leisure ruled D'Amato could talk only about instances where he had dealt personally with the move . . .

Former heavyweight champion Larry Holmes said he will sue the International Boxing Federation if the organization fails to overturn his April 19 loss to Michael Spinks.

"What they have to do is tell Michael they made a mistake, and then apologize to me for making a mistake and give me my title back," Holmes said. "I know they're not going to do it. But that will lead to litigation, and that's what it's all about." . . .

In Rochester, N.Y., Cory Snyder, 23, shortstop for the Maine Guides, pleaded innocent to assault. He is charged with throwing his bat into the stands after flying out to center in Thursday's International League game with the Red Wings and injuring Dorothy Matteson, 61, and her granddaughter Deborah Schirtz, 26. Both were treated for minor injuries. COLLEGES

The University of Virginia's Board of Visitors has a choice of a $357,000 repair bill for Scott Stadium or losing 12,000 seats for football games this fall.

Some concrete supports in the 55-year-old stadium are deteriorating "causing a significant loss of strength," William D. Middleton, assistant vice president for the physical plant, told the board. He said the damage is so severe that there is no way of knowing if the facility is safe . . .

Maryland sophomore midfielder Tom Worstell has been named first team all-America in lacrosse, by the U.S. Intercollegiate Lacrosse Association. LOCALLY

Ray Richards, Regina High's girls basketball coach, died Thursday night of a heart attack. He was 48. In his first year at Regina, Richards coached the team to a 10-16 overall record. Richards coached the Oxon Hill girls team for 10 years.