The Reagan administration transition office drew futher from the well of Nixon and Ford administration officials yesterday as it chose "team leaders" to oversea the transfer of governmental power at each of the 13 Cabinet departments.

Among those appointed to head specific teams were Gerald Parsky, who will direct the transition at the Treasury Department, where he was an assistant secretary under the last two Republican presidents; Richard Lyng, at the Department of Agriculture, where he was an assistant secretary under Richard M. Nixon; Richard Shubert, at the Labor Department, where he was solicitor and undersecretary under Nixon and Gerald R. Ford, and Richard Wiley at the Justice Department. Wiley was chairman of the Federal Communications Commission under Nixon and Ford.

The mushrooming transition operation expanded in countless directions yesterday, as scores of new people were added to various offices and specific transition teams were being assembled for dozens of other federal agencies. At transition headquarters on M Street NW, policy planners and furniture movers worked around one another as resumes poured into the mailroom and switchboard operators struggled with a telephone directory that was compiled Tuesday and is already far out of date.

The 13 team leaders appointed yesterday:

State Department -- Robert E. Neumann, a scholar at the Center for Strategic and International Studies at Georgetown University. He was U.S. ambassador to Afghanistan in 1966-73 and to Morocco in 1973-76.

Defense Department -- William R. Van Cleave, a scholar who heads the Defense and Strategic Studies Program at the University of Southern California. As a Pentagon official in 1969-71, he was a member of the first SALT negotiating team, and later was a member of the hawkish "B Team" that analyzed the Soviet threat for U.S. intelligence agencies.

Treasury -- Gerald L. Parsky, a partner in the Washington office of the big Los Angeles law firm of Gibson, Dunn and Crutcher. In the Nixon administration he worked under William E. Simon, now a top Reagan adviser, at the Federal Energy Office and the Treasury, and was Treasury's assistant secretary for international affairs in 1974-77.

Justice -- Richard E. Wiley, a partner in the Washington office of the big Chicago law firm of Kirkland & Ellis. He became general counsel of the Federal Communications Commission in 1970, and was made a commissioner in 1972 and chairman in 1974 by Nixon.

Interior -- Richard Richards, director of the Richards and Associates discount law clinic in Ogden, Utah. He has been active in Republican politics in Utah, and this year held a top job in the western regional arm of the Reagan-Bush campaign.

Commerce -- Calvin Collier, a partner in the Washington office of the New York law firm of Hughs, Hubbard & Reed. He held a number of positions under Nixon and Ford, and was appointed by he latter to head the Federal Trade Commission in March 1976. President Carter named a new chairman a year later, but Collier remained an FTC member until early 1978. c

Agriculture -- Richard Lyng, an angribusiness consultant in Washington. He was director of the California Agriculture Department under Reagan and assistant secretary of agriculture under Nixon in 1969-73. From 1973 to 1979 he was president of the American Meat Institute.

Labor -- Richard Shubert, vice chairman of Bethlehem Steel Corp. On a leave of absence from Bethlehem, where he has worked since 1961, he served in the Labor Department from 1970 to 1975 as solicitor and later undersecretary. t

Health and Human Services -- Robert B. Carleson, a management consultant in Washington. He ran the California Department of Social Welfare; under Reagan and was U.S. commissioner of welfare under Nixon and Ford. He is the architect of the Dole-Long bill, an ambitious proposal to make states crack down on inefficiency in federally funded welfare programs. t

Transportation -- Arthur E. Teele, a labor lawyer in Tallahassee. Winner of the purple heart and a bronze star in Vietnam, he has served as a consultant to various government agencies on labor and management issues.

Energy -- Michel Thomas Halbouty, a wealthy independent oilman in Houston. He is a geologist, author and teacher, but made his fortune drilling wells. He describes himself in Who's Who in America as "discoverer numberous oil and gas fields."

Education -- Lorelei Kinder, a hard-working Pasadena Republican and early backer of Reagan's presidential campaign. Her education credentials, as set forth by the transition team: in the 1960s, "she was the administrative assistant to a state senator who was on the education committee. She conducted several studies for the committee which dealt with the California education system . . . as well as with other important subjects."

Housing and Urban Development -- Gerald Carmen, a tire salesman in Manchester, N.h., and a former New Hampshire Republican chairman. A tireless political activist, Carmen was one of the biggest GOP names in his state to climb on Reagan's bandwagon at the start of the campaign. He has been a member and chairman of the Manchester Housing and Urban Renewal Authority.

The transition office also fleshed out its congressional liaison office yesterday. Paul Russo, who was a staff aide on both sides of Capitol Hill and later worked in the presidential campaigns of Sen. Bob Dole (R-Kan.) and Reagan, will be deputy to the office director Tom C. Korologos. Rich Williamson, a Washington lawyer who ran Rep. Philip M. Crane's (R-Ill.) presidential campaign before switiching to the Reagan camp, will work on long-range legislative plans.

In addition, Donald J. Devine, a political scientist at the University of Maryland, and R.t. (Tim) McNamar, a financial officer in Los Angeles and former Federal Trade Commission official, were appointed to review policy at the federal Office of Personnel Management.

William Timmons, the transition official who will oversee the work of the departmental teams, said team members "might have a leg up" when the Reagan administration chooses Cabinet and sub-Cabinet officials, but he said Cabinet appointments are just as likely to go to people not involved in the transition.

Four years ago, when then-president-elect Carter named "clusters" to oversee the transition at various departments, none of the cluster leaders ended up as Cabinet officers.