The last team that had thrown the previously most recent no-hitter that was in turn no-hit was the Chicago White Sox.
On August 11, 1991, Wilson Alvarez of Chicago threw a no-hitter at Baltimore. Just over two weeks later on August 26, 1991, Bret Saberhagen of Kansas City threw a no-hitter against the White Sox.
Two players played in Johnson's perfect game and Sanchez's no-hitter, both of them Arizona players. They are Chad Tracy, who batted leadoff for the DBacks in 2004 (??!!), and Luis Gonzalez. Johnny Estrada of Arizona was the starting catcher for Atlanta in 2004, but did not play Thursday. Arizona shortstop Steven Drew's older brother, JD Drew, started for Atlanta in 2004. Juan Cruz, who pitched for Arizona in the 2006 game, was on the Braves in 2004, but did not appear in Johnson's perfect game as Mike Hampton went the distance for the Braves.
Anibal Sanchez is the sixth pitcher who has a last name ending in z to throw a no-hitter.
The last no-hitter by a Marlins pitcher was on May 12, 2001 by A.J. Burnett in San Diego. None of the members of the 2001 Marlins are still with the team. The only members of the 2001 Padres who are still with the team are Trevor Hoffman, Ryan Klesko (nominally), and Rudy Seanez, who was in Tour of Duty #2 with the Padres. He is presently on Tour #4.