Twenty-two players have accepted invitations to try out for Team America, the new Washington-based team that will play in the North American Soccer League this season.

The team is scheduled to begin workouts here Tuesday under Coach Alkis Panagoulias, the former coach of the Greek national team. Team America will play a full 30-game league schedule, beginning April 22, and the first home game will be May 8 at RFK Stadium.

Among those who have accepted are seven members of the league champion Cosmos, including three starters: defender Jeff Durgan and midfielders Angelo DiBernardo and Boris Bandov. Forwards Steve Moyers and Chico Borja, defender Erhardt Kapp and goalkeeper David Brcic are the others.

Midfielder Rick Davis, who has been opposed to the idea of the team, and defender Darryl Gee of Columbia, Md., have not announced a decision. Gee has said he would probably try out.

Several other front-line players will report, including goalkeepers Arnie Mausser (Tampa Bay) and Winston DuBose (Tulsa); defender Colin Fowles (Fort Lauderdale); midfielders Perry Van Der Beck (Tampa Bay) and Alan Merrick (Toronto), and forward Njego Pesa (Tulsa).

Others who will try out are free agent goalkeeper Paul Hammond (Seattle); defenders Dan Canter and Bruce Savage (Fort Lauderdale) and Glenn Myernick (Tampa Bay), midfielders Pedro DeBrito (Tampa Bay) and Sonny Askew (Toronto), and forwards Tony Crescitelli (Golden Bay), Robert Mesbach (Fort Lauderdale) and Hayden Knight (Montreal).