Harden has been suffering a hamstring issue, with the Nets falling to the Bucks in the Eastern Conference finals, but presumably will be ready for the the Olympic Games at the end of July. Irving suffered a high ankle sprain and missed the final three games of the series.
Harden has joined a list that already reportedly includes Nets forward Kevin Durant, Heat power forward Bam Adebayo, Suns shooting guard Devin Booker, Celtics guard/forward Jayson Tatum, Wizards shooting guard Bradley Beal, Trail Blazers point guard Damian Lillard and Warriors forward Draymond Green.
Harden, 31, averaged 24.6 points, 10.8 assists and 7.9 rebounds in 44 games this past season, which started with the Rockets and ended in Brooklyn.
Spurs coach Gregg Popovich will serve as coach of Team USA, which announced 57 finalists for the Olympic roster in March and needs to turn in a 12-man roster by July 5. No date has been determined for the start of training camp in Las Vegas.
As an aside, the Finals start on July 8, with a potential Game 7 set for July 22. The Olympics are scheduled to begin July 23 in Tokyo.