England's record goalscorer Rooney, 36, stood down as Derby County manager last month after guiding the Rams through a tortuous period in the club's history.
His first job in management saw him lead the club through administration and relegation to League One.
Rooney spent 18 months in Washington at DC United before joining Derby as a player-coach in January 2020.
He was put in interim charge of the team in November of that year with the club bottom of the Championship after they parted company with Phillip Cocu.
