Iraola signed a two-year contract to succeed Arne Slot last month following the club's call to sack the Dutchman just over 12 months on from his EPL title win.
The move for Iraola came following his own decision to leave Bournemouth, after three eye-catching campaigns at the Vitality Stadium, including a first-ever European qualification at the end of 2025/26.
With his stock rising, Iraola wanted a new challenge and opted against an extension with the Cherries before accepting Liverpool's offer.
Iraola has already completed his first transfer move as Reds boss, with fellow Spaniard Victor Munoz arriving at Anfield alongside the completion of a pre-agreed deal for Jeremy Jacquet.
Alongside new players, the club have now also confirmed an updated coaching staff for Iraola, after the departure of Slot's backroom team.
Former Bournemouth assistant coach Tommy Elphick, set-piece coach Shaun Cooper, analyst Tom Webber and fitness coach Pablo de la Torre have all made the swap and will continue in those same capacities at Liverpool.
The move for Elphick comes after he rejected the head coach job at Bristol City in May whilst De la Torre has been with Iraola since their time together at Spanish side Rayo Vallecano.
Liverpool kick off their preseason tour of the USA against Sunderland on July 25 followed by clashes with Wrexham and Leeds United.