The Nets were bitten by the injury bug all season, with long absences for Durant and Harden in the second half.
When he returned from the same injury in April, he promptly strained it minutes into his return and missed the next 18 games, so the Nets are being cautious with him.
Olympic track and field trials in Eugene, Oregon, where the top three in each event earn a spot to the postponed Tokyo Games.
The NYRA suspended the Hall of Famer in mid-May after Kentucky Derby winner Medina Spirit failed a postrace drug test that found 21 picograms of betamethasone.
In the filing in Brooklyn, Baffert said he was suspended without “any prior notice” by the NYRA, which did not specify “duration or terms of the suspension” and did not accuse him of violating any New York state law or regulation.
Voting for the WNBA’s team, which starts Tuesday, will be determined from a pool chosen by fans, players and media.
The WNBA played an exhibition in New York in 2004 at Radio City Music Hall, but it wasn’t considered an All-Star Game.