12:26 PM PT -- Douglas H. Wigdor and John Elefterakis tell TMZ ... "We congratulate Coach Flores on his new position with the Steelers and thank Coach Tomlin and the organization for giving him this great opportunity. While Coach Flores is now focused on his new position, he will continue with his race discrimination class action so that real change can be made in the NFL."
Brian Flores is suing the NFL, but he'll still be getting paychecks from the org. in 2022 ... 'cause the ex-Miami Dolphins head coach has been hired to join the Pittsburgh Steelers coaching staff.
As we previously reported, Flores is in the middle of a messy legal battle with the NFL ... claiming its hiring process is rooted in racism -- even using texts from Bill Belichick to make his point.
While the 40-year-old's priority is facing off against the league in court in hopes of bringing change, he'll also be setting his focus on the AFC North ... as Flores will be the senior defensive assistant and linebackers coach for the Stellers next season.