Iraola has been linked with the likes of Manchester United and Tottenham since the end of last season, but has remained at Dean Court.
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However, a return to LaLiga could be on for the former Rayo Vallecano coach.
La Razon says Athletic Bilbao coach Ernesto Valverde is set to step down at the end of the season, with Iraola emerging as a favourite candidate as a successor.
Iñigo Pérez (Rayo Vallecano) and Eder Sarabia (Elche) are also on Athletic Bilbao's wish list.
Iraola was raised in Athletic Bilbao and spent almost his entire playing career there. He scored 38 goals and provided 47 assists in 508 competitive matches for Athletic Bilbao.